Musterbildung, Energielandschaften und Skalierungsgesetze
Direktor:
Felix Otto
Kontakt: Email
Telefon:
+49 (0) 341 - 9959 - 950
Fax:
+49 (0) 341 - 9959 - 658
Anschrift:
Inselstr. 22
04103 Leipzig
Sekretariat:
Katja Heid
Email, Telefon:
+49 (0) 341 - 9959 - 951
Publications Felix Otto
Journal Articles 
Katarína Bellová ; Antoine Julia and Felix Otto:
Uniform energy distribution in a pattern-forming system of surface charges
In: Revista Matemática Iberoamericana,
38 (2022) 3, p. 783-822
Bibtex DOI: 10.4171/RMI/1308 ARXIV: https://arxiv.org/abs/2004.01242Arianna Giunti and Felix Otto:
On the existence of the Green function for elliptic systems in divergence form
In: Manuscripta mathematica,
167 (2022) 1/2, p. 385-402
Bibtex DOI: 10.1007/s00229-021-01271-0 ARXIV: https://arxiv.org/abs/1911.02110Arianna Giunti and Felix Otto:
Erratum to [updated to open access] : 'On the existence of the Green function for
elliptic systems in divergence form' [In: Manuscripta mathematica, 167 (2022) 1/2,
p. 385-402]
In: Manuscripta mathematica,
167 (2022) 1/2, p. 403-404
Bibtex DOI: 10.1007/s00229-021-01325-3 ARXIV: https://arxiv.org/abs/1911.02110Marc Josien and Felix Otto:
The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic
homogenization
In: Journal of functional analysis,
283 (2022) 7, 109594
Bibtex MIS-Preprint: 57/2020 DOI: 10.1016/j.jfa.2022.109594 ARXIV: https://arxiv.org/abs/2005.08811 LINK: https://hal.archives-ouvertes.fr/hal-02612489/Matti Schneider ; Marc Josien and Felix Otto:
Representative volume elements for matrix-inclusion composites : a computational study
on the effects of an improper treatment of particles intersecting the boundary and
the benefits of periodizing the ensemble
In: Journal of the mechanics and physics of solids,
158 (2022), 104652
Bibtex DOI: 10.1016/j.jmps.2021.104652 ARXIV: https://arxiv.org/abs/2103.07627Antoine Gloria ; Stefan Neukamm and Felix Otto:
Quantitative estimates in stochastic homogenization for correlated coefficient fields
In: Analysis and PDE,
14 (2021) 8, p. 2497-2537
Bibtex DOI: 10.2140/apde.2021.14.2497 ARXIV: https://arxiv.org/abs/1910.05530Michael Goldman ; Martin Huesmann and Felix Otto:
Quantitative linearization results for the Monge-Ampère equation
In: Communications on pure and applied mathematics,
74 (2021) 12, p. 2483-2560
Bibtex DOI: 10.1002/cpa.21994 ARXIV: https://arxiv.org/abs/1905.09678Jianfeng Lu and Felix Otto:
Optimal artificial boundary condition for random elliptic media
In: Foundations of computational mathematics,
21 (2021) 6, p. 1643-1702
Bibtex DOI: 10.1007/s10208-021-09492-1 ARXIV: https://arxiv.org/abs/1803.09593Tatsuya Miura and Felix Otto:
Sharp boundary \(\varepsilon\)-regularity of optimal transport maps
In: Advances in mathematics,
381 (2021), 107603
Bibtex DOI: 10.1016/j.aim.2021.107603 ARXIV: https://arxiv.org/abs/2002.08668Felix Otto ; Maxime Prod'homme and Tobias Ried:
Variational approach to regularity of optimal transport maps : general cost functions
In: Annals of PDE,
7 (2021) 2, 17
Bibtex MIS-Preprint: 20/2021 DOI: 10.1007/s40818-021-00106-1 ARXIV: https://arxiv.org/abs/2007.11549Peter Bella ; Arianna Giunti and Felix Otto:
Effective multipoles in random media
In: Communications in partial differential equations,
45 (2020) 6, p. 561-640
Bibtex DOI: 10.1080/03605302.2020.1743309 ARXIV: https://arxiv.org/abs/1708.07672Mitia Duerinckx ; Antoine Gloria and Felix Otto:
The structure of fluctuations in stochastic homogenization
In: Communications in mathematical physics,
377 (2020) 1, p. 259-306
Bibtex DOI: 10.1007/s00220-020-03722-3 ARXIV: http://arxiv.org/abs/1602.01717Mitia Duerinckx ; Antoine Gloria and Felix Otto:
Robustness of the pathwise structure of fluctuations in stochastic homogenization
In: Probability theory and related fields,
178 (2020) 1/2, p. 531-566
Bibtex DOI: 10.1007/s00440-020-00983-w ARXIV: https://arxiv.org/abs/1807.11781Mitia Duerinckx and Felix Otto:
Higher-order pathwise theory of fluctuations in stochastic homogenization
In: Stochastics and partial differential equations : analysis and computations,
8 (2020) 3, p. 625-692
Bibtex DOI: 10.1007/s40072-019-00156-4 ARXIV: https://arxiv.org/abs/1903.02329Antoine Gloria ; Stefan Neukamm and Felix Otto:
A regularity theory for random elliptic operators
In: Milan journal of mathematics,
88 (2020) 1, p. 99-170
Bibtex DOI: 10.1007/s00032-020-00309-4 ARXIV: https://arxiv.org/abs/1409.2678Michael Goldman and Felix Otto:
A variational proof of partial regularity for optimal transportation maps
In: Annales scientifiques de l'Ecole Normale Supérieure,
53 (2020) 5, p. 1209-1233
Bibtex DOI: 10.24033/asens.2444 ARXIV: https://arxiv.org/abs/1704.05339Venera Khoromskaia ; Boris N. Khoromskij and Felix Otto:
Numerical study in stochastic homogenization for elliptic partial differential equations
: convergence rate in the size of representative volume elements
In: Numerical linear algebra with applications,
27 (2020) 3, e2296
Bibtex DOI: 10.1002/nla.2296 ARXIV: https://arxiv.org/abs/1903.12227Tim Bastian Laux and Felix Otto:
Brakke's inequality for the thresholding scheme
In: Calculus of variations and partial differential equations,
59 (2020) 1, 39
Bibtex MIS-Preprint: 52/2017 DOI: 10.1007/s00526-020-1696-8 ARXIV: https://arxiv.org/abs/1708.03071Felix Otto and Vladimír Šverák:
Editorial
In: Archive for rational mechanics and analysis,
235 (2020) 1, p. 1-2
Bibtex DOI: 10.1007/s00205-019-01482-6Olga Chugreeva ; Felix Otto and Maria G. Westdickenberg:
Relaxation to a planar interface in the Mullins-Sekerka problem
In: Interfaces and free boundaries,
21 (2019) 1, p. 21-40
Bibtex DOI: 10.4171/IFB/415 ARXIV: https://arxiv.org/abs/1709.04833Radu Ignat and Felix Otto:
The magnetization ripple : a nonlocal stochastic PDE perspective
In: Journal de mathématiques pures et appliquées,
130 (2019), p. 157-199
Bibtex DOI: 10.1016/j.matpur.2019.01.010 ARXIV: https://arxiv.org/abs/1709.01374Hans Knüpfer and Felix Otto:
Nucleation barriers for the cubic-to-tetragonal phase transformation in the absence
of self-accommodation
In: Zeitschrift für angewandte Mathematik und Mechanik,
99 (2019) 2, e201800179
Bibtex DOI: 10.1002/zamm.201800179Felix Otto ; Mitia Duerinckx and Marc Josien:
Quantitative stochastic homogenization [In: Computational multiscale methods ; 28
July - 3 August 2019 ; report no. 35/2019]
In: Oberwolfach reports,
16 (2019) 3, p. 2160-2163
Bibtex DOI: 10.4171/OWR/2019/35 LINK: https://publications.mfo.de/handle/mfo/3783Felix Otto ; Michael Goldman and Marc Josien:
A generalization of the entropy identity for Burgers' equation and application to
the Kuramoto-Sivashinsky equation [In: Mathematical aspects of hydrodynamics ; 18
August - 24 August 2019 ; report no. 38/2019]
In: Oberwolfach reports,
16 (2019) 3, p. 2374-2377
Bibtex DOI: 10.4171/OWR/2019/38 LINK: https://publications.mfo.de/handle/mfo/3786Felix Otto ; Sebastian Scholtes and Maria G. Westdickenberg:
Optimal \(L^1\)-type relaxation rates for the Cahn-Hilliard equation on the line
In: SIAM journal on mathematical analysis,
51 (2019) 6, p. 4645-4682
Bibtex DOI: 10.1137/18M1192640 ARXIV: https://arxiv.org/abs/1806.02519Felix Otto ; Sebastian Scholtes and Maria G. Westdickenberg:
Optimal \(L^1\)-relaxation rates for the Cahn-Hilliard equation on the line [In: Surface,
bulk, and geometric partial differential equations : interfacial, stochastic, non-local
and discrete structures ; 20 January - 26 January 2019 ; report no. 3/2019]
In: Oberwolfach reports,
16 (2019) 1, p. 170-172
Bibtex DOI: 10.4171/OWR/2019/3 LINK: https://publications.mfo.de/handle/mfo/3718Felix Otto and Hendrik Weber:
Quasilinear SPDEs via rough paths
In: Archive for rational mechanics and analysis,
232 (2019) 2, p. 873-950
Bibtex DOI: 10.1007/s00205-018-01335-8 ARXIV: http://arxiv.org/abs/1605.09744Felix Otto and Hendrik Weber:
Quasi-linear SPDEs in divergence form
In: Stochastics and partial differential equations : analysis and computations,
7 (2019) 1, p. 64-85
Bibtex DOI: 10.1007/s40072-018-0122-0 ARXIV: https://arxiv.org/abs/1707.01424Peter Bella ; Benjamin J. Fehrman and Felix Otto:
A Liouville theorem for elliptic systems with degenerate ergodic coefficients
In: The annals of applied probability,
28 (2018) 3, p. 1379-1422
Bibtex MIS-Preprint: 47/2016 DOI: 10.1214/17-AAP1332 ARXIV: https://arxiv.org/abs/1605.00687Sergio Conti ; Michael Goldman ; Felix Otto and Sylvia Serfaty:
A branched transport limit of the Ginzburg-Landau functional
In: Journal de l'Ecole polytechnique : mathématiques,
5 (2018), p. 317-375
Bibtex DOI: 10.5802/jep.72 ARXIV: https://arxiv.org/abs/1704.02764Xavier Lamy and Felix Otto:
On the regularity of weak solutions to Burgers' equation with finite entropy production
In: Calculus of variations and partial differential equations,
57 (2018) 4, 94
Bibtex DOI: 10.1007/s00526-018-1380-4 ARXIV: https://arxiv.org/abs/1704.07633Felix Otto and Mitia Duerinckx:
Characterizing fluctuations in stochastic homogenization [In: Interplay of analysis
and probability in applied mathematics ; 11 February - 17 February 2018 ; report no.
6/2018]
In: Oberwolfach reports,
15 (2018) 1, p. 364-367
Bibtex DOI: 10.4171/OWR/2018/6 LINK: https://publications.mfo.de/handle/mfo/3628Felix Otto ; Michael Goldman and Martin Huesmann:
A variational approach to regularity for the Monge-Ampère equation, and an
application to the matching problem [In: Calculus of variations ; 29 July - 4 August
2018 ; report no. 35/2018]
In: Oberwolfach reports,
15 (2018) 3, p. 2121-2124
Bibtex DOI: 10.4171/OWR/2018/35 LINK: https://publications.mfo.de/handle/mfo/3657Peter Bella ; Benjamin J. Fehrman ; Julian Fischer and Felix Otto:
Stochastic homogenization of linear elliptic equations : higher-order error estimates
in weak norms via second-order correctors
In: SIAM journal on mathematical analysis,
49 (2017) 6, p. 4658-4703
Bibtex DOI: 10.1137/16M110229X ARXIV: https://arxiv.org/abs/1609.01528Joseph G. Conlon ; Arianna Giunti and Felix Otto:
Green's function for elliptic systems : existence and Delmotte-Deuschel bounds
In: Calculus of variations and partial differential equations,
56 (2017) 6, 163
Bibtex MIS-Preprint: 34/2016 DOI: 10.1007/s00526-017-1255-0 ARXIV: http://arxiv.org/abs/1602.05625Julian Fischer and Felix Otto:
Sublinear growth of the corrector in stochastic homogenization : optimal stochastic
estimates for slowly decaying correlations
In: Stochastics and partial differential equations : analysis and computations,
5 (2017) 2, p. 220-255
Bibtex DOI: 10.1007/s40072-016-0086-x ARXIV: http://arxiv.org/abs/1508.00025Antoine Gloria and Felix Otto:
Quantitative results on the corrector equation in stochastic homogenization
In: Journal of the European Mathematical Society,
19 (2017) 11, p. 3489-3548
Bibtex DOI: 10.4171/JEMS/745 ARXIV: http://arxiv.org/abs/1409.0801Tim Bastian Laux and Felix Otto:
Kornwachstum in Polykristallen: Algorithmen für den mittleren Krümmungsfluss
In: Jahrbuch der Max-Planck-Gesellschaft,
2017 (2017), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
Bibtex LINK: https://www.mpg.de/10893983/mpi_mis_jb_2017?c=11356432Camilla Nobili and Felix Otto:
Limitations of the background field method applied to Rayleigh-Bénard convection
In: Journal of mathematical physics,
58 (2017) 9, 093102
Bibtex MIS-Preprint: 57/2016 DOI: 10.1063/1.5002559 ARXIV: http://arxiv.org/abs/1605.08135Felix Otto ; Peter Bella and Arianna Giunti:
Effective multipole expansion in random media [In: Material theories ; 16 July - 22
July 2017 ; report no. 33/2017]
In: Oberwolfach reports,
14 (2017) 3, p. 2068-2071
Bibtex DOI: 10.4171/OWR/2017/33 LINK: https://publications.mfo.de/handle/mfo/3597Felix Otto and Michael Goldman:
Regularity for Monge-Ampère by Benamou-Brenier [In: Applications of optimal
transportation in the natural sciences ; 29 January - 4 February 2017 ; report no.
7/2017]
In: Oberwolfach reports,
14 (2017) 1, p. 345-347
Bibtex DOI: 10.4171/OWR/2017/7 LINK: https://publications.mfo.de/handle/mfo/3571Felix Otto and Tim Bastian Laux:
Brakke - de Giorgi - Osher [In: Variational methods for evolution ; 12 November -
18 November 2017 ; report no. 54/2017]
In: Oberwolfach reports,
14 (2017) 4, p. 3219-3222
Bibtex DOI: 10.4171/OWR/2017/54 LINK: https://publications.mfo.de/handle/mfo/3618Peter Bella and Felix Otto:
Corrector estimates for elliptic systems with random periodic coefficients
In: Multiscale modeling and simulation,
14 (2016) 4, p. 1434-1462
Bibtex MIS-Preprint: 100/2014 DOI: 10.1137/15M1037147 ARXIV: http://arxiv.org/abs/1409.5271Björn Bringmann ; Lorenzo Giacomelli ; Hans Knüpfer and Felix Otto:
Corrigendum to 'Smooth zero-contact-angle solutions to a thin-film equation around
the steady state' (J. Differential equations 245 (2008) 1454-1506)
In: Journal of differential equations,
261 (2016) 2, p. 1622-1635
Bibtex DOI: 10.1016/j.jde.2016.04.010Antoine Choffrut ; Camilla Nobili and Felix Otto:
Upper bounds on Nusselt number at finite Prandtl number
In: Journal of differential equations,
260 (2016) 4, p. 3860-3880
Bibtex MIS-Preprint: 116/2014 DOI: 10.1016/j.jde.2015.10.051 ARXIV: http://arxiv.org/abs/1412.4812Antoine Choffrut ; Camilla Nobili and Felix Otto:
A maximal regularity estimate for the non-stationary Stokes equation in the strip
In: Journal of differential equations,
260 (2016) 7, p. 5589-5626
Bibtex DOI: 10.1016/j.jde.2015.12.010 ARXIV: https://arxiv.org/abs/1703.09208Eleonora Cinti and Felix Otto:
Interpolation inequalities in pattern formation
In: Journal of functional analysis,
271 (2016) 11, p. 3348-3392
Bibtex MIS-Preprint: 56/2015 DOI: 10.1016/j.jfa.2016.05.007 ARXIV: http://arxiv.org/abs/1509.01189Sergio Conti ; Felix Otto and Sylvia Serfaty:
Branched microstructures in the Ginzburg-Landau model of type-I superconductors
In: SIAM journal on mathematical analysis,
48 (2016) 4, p. 2994-3034
Bibtex DOI: 10.1137/15M1028960 ARXIV: http://arxiv.org/abs/1507.00836Lukas Döring ; Claudia Hengst ; Felix Otto and Rudolf Schäfer:
Interacting tails of asymmetric domain walls : theory and experiments
In: Physical review / B,
93 (2016) 2, 024414
Bibtex MIS-Preprint: 14/2015 DOI: 10.1103/PhysRevB.93.024414Lukas Döring ; Radu Ignat and Felix Otto:
Topology and hysteretic domain-wall transitions in ferromagnets [In: Mechanics of
materials : mechanics of interfaces and evolving microstructure ; 13 March - 19 March
; report no. 17/2016]
In: Oberwolfach reports,
13 (2016) 1, p. 817-818
Bibtex DOI: 10.4171/OWR/2016/17 LINK: https://publications.mfo.de/handle/mfo/3521Julian Fischer and Felix Otto:
A higher-order large-scale regularity theory for random elliptic operators
In: Communications in partial differential equations,
41 (2016) 7, p. 1108-1148
Bibtex DOI: 10.1080/03605302.2016.1179318 ARXIV: http://arxiv.org/abs/1503.07578Lorenzo Giacomelli ; Manuel V. Gnann and Felix Otto:
Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner's
law
In: Nonlinearity,
29 (2016) 9, p. 2497-2536
Bibtex MIS-Preprint: 45/2015 DOI: 10.1088/0951-7715/29/9/2497Tim Bastian Laux and Felix Otto:
Convergence of the thresholding scheme for multi-phase mean-curvature flow
In: Calculus of variations and partial differential equations,
55 (2016) 5, 129
Bibtex MIS-Preprint: 33/2015 DOI: 10.1007/s00526-016-1053-0 ARXIV: https://arxiv.org/abs/1602.05857Jean-Christophe Mourrat and Felix Otto:
Correlation structure of the corrector in stochastic homogenization
In: The annals of probability,
44 (2016) 5, p. 3207-3233
Bibtex MIS-Preprint: 11/2015 DOI: 10.1214/15-AOP1045 ARXIV: http://arxiv.org/abs/1402.1924Jean-Christophe Mourrat and Felix Otto:
Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate
environments
In: Journal of functional analysis,
270 (2016) 1, p. 201-228
Bibtex DOI: 10.1016/j.jfa.2015.09.020 ARXIV: http://arxiv.org/abs/1503.08280Felix Otto ; Lukas Döring and Radu Ignat:
The magnetization ripple revisited [In: Mini-workshop : mathematics of magnetoelastic
materials ; 30 October - 5 November 2016 ; report no. 51/2016]
In: Oberwolfach reports,
13 (2016) 4, p. 2917-2919
Bibtex DOI: 10.4171/OWR/2016/51 LINK: https://publications.mfo.de/handle/mfo/3556Selim Esedoglu and Felix Otto:
Threshold dynamics for networks with arbitrary surface tensions
In: Communications on pure and applied mathematics,
68 (2015) 5, p. 808-864
Bibtex MIS-Preprint: 2/2013 DOI: 10.1002/cpa.21527Elias Esselborn ; Nicola Gigli and Felix Otto:
Algebraic contraction rate for distance between entropy solutions of scalar conservation
laws
In: Journal of mathematical analysis and applications,
435 (2015) 2, p. 1525-1551
Bibtex MIS-Preprint: 9/2015 DOI: 10.1016/j.jmaa.2015.11.027Antoine Gloria ; Stefan Neukamm and Felix Otto:
Quantification of ergodicity in stochastic homogenization : optimal bounds via spectral
gap on Glauber dynamics
In: Inventiones mathematicae,
199 (2015) 2, p. 455-515
Bibtex MIS-Preprint: 91/2013 DOI: 10.1007/s00222-014-0518-zAntoine Gloria and Felix Otto:
Quantitative estimates on the periodic approximation of the corrector in stochastic
homogenization
In: ESAIM / Proceedings,
48 (2015), p. 80-97
Bibtex MIS-Preprint: 12/2015 DOI: 10.1051/proc/201448003 ARXIV: http://arxiv.org/abs/1409.1161Michael Goldman ; Marc Josien and Felix Otto:
New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations
In: Communications in partial differential equations,
40 (2015) 12, p. 2237-2265
Bibtex MIS-Preprint: 24/2015 DOI: 10.1080/03605302.2015.1076003 ARXIV: http://arxiv.org/abs/1503.06059Agnes Lamacz ; Stefan Neukamm and Felix Otto:
Moment bounds for the corrector in stochastic homogenization of a percolation model
In: Electronic journal of probability,
20 (2015), 106
Bibtex MIS-Preprint: 63/2014 DOI: 10.1214/EJP.v20-3618 ARXIV: http://arxiv.org/abs/1406.5723Daniel Marahrens and Felix Otto:
On annealed elliptic Green's function estimates
In: Mathematica bohemica,
140 (2015) 4, p. 489-506
Bibtex MIS-Preprint: 13/2015 ARXIV: http://arxiv.org/abs/1401.2859 LINK: http://dml.cz/handle/10338.dmlcz/144465Stefan Neukamm ; Antoine Gloria and Felix Otto:
Quantitative stochastic homogenization of elliptic equations [In: Interplay of analysis
and probability in applied mathematics ; 26 July - 1 August 2015 ; report no. 35/2015]
In: Oberwolfach reports,
12 (2015) 3, p. 2030-2033
Bibtex DOI: 10.4171/OWR/2015/35Lukas Döring ; Radu Ignat and Felix Otto:
A reduced model for domain walls in soft ferromagnetic films at the cross-over from
symmetric to asymmetric wall types
In: Journal of the European Mathematical Society,
16 (2014) 7, p. 1377-1422
Bibtex MIS-Preprint: 33/2012 DOI: 10.4171/JEMS/464 ARXIV: https://arxiv.org/abs/1309.2494Lorenzo Giacomelli ; Manuel V. Gnann ; Hans Knüpfer and Felix Otto:
Well-posedness for the Navier-Slip thin-film equation in the case of complete wetting
In: Journal of differential equations,
257 (2014) 1, p. 15-81
Bibtex MIS-Preprint: 1/2014 DOI: 10.1016/j.jde.2014.03.010Antoine Gloria ; Stefan Neukamm and Felix Otto:
An optimal quantitative two-scale expansion in stochastic homogenization of discrete
elliptic equations
In: ESAIM / Mathematical modelling and numerical analysis,
48 (2014) 2, p. 325-346
Bibtex MIS-Preprint: 41/2013 DOI: 10.1051/m2an/2013110 ARXIV: https://arxiv.org/abs/1409.1157Jianfeng Lu and Felix Otto:
Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model
In: Communications on pure and applied mathematics,
67 (2014) 10, p. 1605-1617
Bibtex DOI: 10.1002/cpa.21477Daniel Marahrens and Felix Otto:
Annealed estimates on the Green function
In: Probability theory and related fields,
163 (2014) 3-4, p. 527-573
Bibtex MIS-Preprint: 69/2012 DOI: 10.1007/s00440-014-0598-0 ARXIV: http://arxiv.org/abs/1304.4408Daniel Marahrens and Felix Otto:
Effektive Beschreibung von heterogenen Medien
In: Jahrbuch der Max-Planck-Gesellschaft,
2014 (2014), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
Bibtex LINK: http://www.mpg.de/7775250/MPI_MIS_JB_2014Felix Otto ; Hendrik Weber and Maria G. Westdickenberg:
Invariant measure of the stochastic Allen-Cahn equation : the regime of small noise
and large system size
In: Electronic journal of probability,
19 (2014), 23
Bibtex MIS-Preprint: 1/2013 DOI: 10.1214/EJP.v19-2813 ARXIV: http://arxiv.org/abs/1301.0408Felix Otto and Maria G. Westdickenberg:
Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation
In: SIAM journal on mathematical analysis,
46 (2014) 1, p. 720-756
Bibtex DOI: 10.1137/130925517Lorenzo Giacomelli ; Manuel V. Gnann and Felix Otto:
Regularity of source-type solutions to the thin-film equation with zero contact angle
and mobility exponent between 3/2 and 3
In: European journal of applied mathematics,
24 (2013) 5, p. 735-760
Bibtex MIS-Preprint: 23/2012 DOI: 10.1017/S0956792513000156Nicola Gigli and Felix Otto:
Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein
metric
In: Calculus of variations and partial differential equations,
47 (2013) 1-2, p. 181-206
Bibtex MIS-Preprint: 39/2012 DOI: 10.1007/s00526-012-0515-2Antoine Gloria ; Stefan Neukamm and Felix Otto:
A quantitative two-scale expansion in stochastic homogenization [In: Interplay of
theory and numerics for deterministic and stochastic homogenization ; 17 March - 23
March 2013 ; report no. 14/2013]
In: Oberwolfach reports,
10 (2013) 1, p. 821-821
Bibtex DOI: 10.4171/OWR/2013/14 LINK: https://publications.mfo.de/handle/mfo/3345Hans Knüpfer ; Robert V. Kohn and Felix Otto:
Nucleation barriers for the cubic-to-tetragonal phase transformation
In: Communications on pure and applied mathematics,
66 (2013) 6, p. 867-904
Bibtex MIS-Preprint: 35/2011 DOI: 10.1002/cpa.21448Daniel Marahrens and Felix Otto:
Regularity for elliptic equations with i.i.d. coefficients [In: Classical and quantum
mechanical models of many-particle systems ; 1 December - 7 December 2013 ; report
no. 57/2013]
In: Oberwolfach reports,
10 (2013) 4, p. 3352-3354
Bibtex DOI: 10.4171/OWR/2013/57 LINK: https://publications.mfo.de/handle/mfo/3388Georg Menz and Felix Otto:
Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic
single-site potential
In: The annals of probability,
41 (2013) 3B, p. 2182-2224
Bibtex MIS-Preprint: 5/2011 DOI: 10.1214/11-AOP715 ARXIV: https://arxiv.org/abs/1307.2338Felix Otto:
A quantitative theory in stochastic homogenization [In: Interplay of theory and numerics
for deterministic and stochastic homogenization ; 17 March - 23 March 2013 ; report
no. 14/2013]
In: Oberwolfach reports,
10 (2013) 1, p. 848-849
Bibtex DOI: 10.4171/OWR/2013/14 LINK: https://publications.mfo.de/handle/mfo/3345Felix Otto:
Optimal martensitic inclusions [In: Material theories ; 15 December - 21 December
2013 ; report no. 59/2013]
In: Oberwolfach reports,
10 (2013) 4, p. 3443-3443
Bibtex DOI: 10.4171/OWR/2013/59 LINK: https://publications.mfo.de/handle/mfo/3390Felix Otto ; Christian Seis and Camilla Nobili:
Rayleigh-Bénard convection : bounds on the Nusselt number [In: Geophysical
fluid dynamics ; 17 February - 23 February 2013 ; report no. 10/2013]
In: Oberwolfach reports,
10 (2013) 1, p. 544-545
Bibtex DOI: 10.4171/OWR/2013/10 LINK: https://publications.mfo.de/handle/mfo/3341Felix Otto ; Christian Seis and Dejan Slepčev:
Crossover of the coarsening rates in demixing of binary viscous liquids
In: Communications in mathematical sciences,
11 (2013) 2, p. 441-464
Bibtex MIS-Preprint: 21/2012 DOI: 10.4310/CMS.2013.v11.n2.a6Felix Otto and Maria G. Westdickenberg:
Stability of kinks in Cahn-Hilliard equations - energy/energy dissipation methods
[In: Classical and quantum mechanical models of many-particle systems ; 1 December
- 7 December 2013 ; report no. 57/2013]
In: Oberwolfach reports,
10 (2013) 4, p. 3363-3363
Bibtex DOI: 10.4171/OWR/2013/57 LINK: https://publications.mfo.de/handle/mfo/3388Antonio Capella ; Stefan Müller and Felix Otto:
A constrained model for MSMA
In: Advanced engineering materials,
14 (2012) 8, p. 594-600
Bibtex DOI: 10.1002/adem.201200095Antonio Capella and Felix Otto:
A quantitative rigidity result for the cubic-to-tetragonal phase transition in the
geometrically linear theory with interfacial energy
In: Proceedings of the Royal Society of Edinburgh / A,
142 (2012) 2, p. 273-327
Bibtex DOI: 10.1017/S0308210510000478Antoine Gloria and Felix Otto:
An optimal error estimate in stochastic homogenization of discrete elliptic equations
In: The annals of applied probability,
22 (2012) 1, p. 1-28
Bibtex MIS-Preprint: 28/2010 DOI: 10.1214/10-AAP745 ARXIV: https://arxiv.org/abs/1203.0908Felix Otto:
Domain and wall pattern in ferromagnets [In: Dynamics of patterns ; 16 December -
22 December 2012 ; report no. 60/2012]
In: Oberwolfach reports,
9 (2012) 4, p. 3620-3622
Bibtex DOI: 10.4171/OWR/2012/60 LINK: https://publications.mfo.de/handle/mfo/3331Jutta Steiner ; Rudolf Schäfer ; Holm Wieczorek ; Jeffrey McCord and Felix Otto:
Formation and coarsening of the concertina magnetization pattern in elongated thin-film
elements
In: Physical review / B,
85 (2012) 10, 104407
Bibtex MIS-Preprint: 40/2011 DOI: 10.1103/PhysRevB.85.104407 ARXIV: https://arxiv.org/abs/1106.3573Yann Brenier ; Felix Otto and Christian Seis:
Upper bounds on coarsening rates in demixing binary viscous liquids
In: SIAM journal on mathematical analysis,
43 (2011) 1, p. 114-134
Bibtex DOI: 10.1137/090775142D. Chakraborty ; Manuel V. Gnann ; D. Rings ; J. Glaser ; Felix Otto ; Frank Cichos and Klaus Kroy:
Generalised Einstein relation for hot Brownian motion
In: epl,
96 (2011) 6, 60009
Bibtex DOI: 10.1209/0295-5075/96/60009 ARXIV: http://arxiv.org/abs/1110.3734Lukas Döring ; Felix Otto and Jutta Steiner:
Domänen- und Wandmuster in ferromagnetischen Filmen
In: Jahrbuch der Max-Planck-Gesellschaft,
2011 (2011), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
Bibtex LINK: http://www.mpg.de/1262200/Ferromagnetische_FilmeSelim Esedoglu and Felix Otto:
Threshold dynamics for arbitrary surface tensions [In: Geometric partial differential
equations : theory, numerics and applications ; November 27th - December 3rd, 2011
; report no. 54/2011]
In: Oberwolfach reports,
8 (2011) 4, p. 3138-3140
Bibtex DOI: 10.4171/OWR/2011/54 LINK: https://publications.mfo.de/handle/mfo/3269Antoine Gloria and Felix Otto:
An optimal variance estimate in stochastic homogenization of discrete elliptic equations
In: The annals of probability,
39 (2011) 3, p. 779-856
Bibtex DOI: 10.1214/10-AOP571 ARXIV: https://arxiv.org/abs/1104.1291Radu Ignat and Felix Otto:
A compactness result for Landau state in thin-film micromagnetics
In: Annales de l'Institut Henri Poincaré / C,
28 (2011) 2, p. 247-282
Bibtex MIS-Preprint: 52/2010 DOI: 10.1016/j.anihpc.2011.01.001 ARXIV: https://arxiv.org/abs/1009.1649Alexander Mielke ; Felix Otto ; Giuseppe Savaré and Ulisse Stefanelli:
Variational methods for evolution ; December 4th - December 10th, 2011 ; report no.
55/2011
In: Oberwolfach reports,
8 (2011) 4, p. 3145-3216
Bibtex DOI: 10.4171/OWR/2011/55 LINK: https://publications.mfo.de/handle/mfo/3270Felix Otto and Christian Seis:
Rayleigh-Bénard convection : improved bounds on the Nusselt number
In: Journal of mathematical physics,
52 (2011) 8, 083702
Bibtex MIS-Preprint: 6/2011 DOI: 10.1063/1.3623417Christian Seis ; Yann Brenier and Felix Otto:
On the coarsening rates in demixing binary viscous liquids [In: Variational methods
for evolution ; December 4th - December 10th, 2011 ; report no. 55/2011]
In: Oberwolfach reports,
8 (2011) 4, p. 3160-3162
Bibtex DOI: 10.4171/OWR/2011/55 LINK: https://publications.mfo.de/handle/mfo/3270Kaushik Bhattacharya ; Dmitri Ioffe ; Stephan Luckhaus and Felix Otto:
Phase transitions : May 30th - June 5th, 2010 ; report no. 24/2010
In: Oberwolfach reports,
7 (2010) 2, p. 1431-1484
Bibtex DOI: 10.4171/OWR/2010/24Felix Otto:
Branching, coarsening, and interpolation estimates [In: Calculus of variations ; 18
July - 24 July, 2010 ; report no. 31/2010]
In: Oberwolfach reports,
7 (2010) 3, p. 1833-1835
Bibtex DOI: 10.4171/OWR/2010/31Felix Otto and Georg Menz:
Logarithmic Sobolev inequality for a conservative spin system with single-site potentials
of arbitrary super-quadratic growth [In: Classical and quantum mechanical models of
many-particle systems ; December 5th - December 11th, 2010 ; report no. 54/2010]
In: Oberwolfach reports,
7 (2010) 4, p. 3210-3212
Bibtex DOI: 10.4171/OWR/2010/54Felix Otto and Fabio Ramos:
Universal bounds for the Littlewood-Paley first-order moments of the 3D Navier-Stokes
equations
In: Communications in mathematical physics,
300 (2010) 2, p. 301-315
Bibtex DOI: 10.1007/s00220-010-1098-4Felix Otto and Jutta Steiner:
The concertina pattern : from micromagnetics to domain theory
In: Calculus of variations and partial differential equations,
39 (2010) 1-2, p. 139-181
Bibtex DOI: 10.1007/s00526-009-0305-7Felix Otto and Thomas Viehmann:
Domain branching in uniaxial ferromagnets : asymptotic behavior of the energy
In: Calculus of variations and partial differential equations,
38 (2010) 1-2, p. 135-181
Bibtex DOI: 10.1007/s00526-009-0281-yDejan Slepčev ; Eva Eggeling ; Matt Elsey ; Karl Glasner ; Felix Otto ; Tobias Rump and Shlomo Taasan:
Coarsening in energy-driven systems [In: Phase transitions ; May 30th - June 5th,
2010 ; report no. 24/2010]
In: Oberwolfach reports,
7 (2010) 2, p. 1469-1471
Bibtex DOI: 10.4171/OWR/2010/24Maria G. Westdickenberg ; Natalie Grunewald ; Felix Otto and Cédric Villani:
A functional analytic approach to logarithmic Sobolev inequalities and the hydrodynamic
limit [In: Phase transitions ; May 30th - June 5th, 2010 ; report no. 24/2010]
In: Oberwolfach reports,
7 (2010) 2, p. 1480-1480
Bibtex DOI: 10.4171/OWR/2010/24Giovanni Alberti ; Rustum Choksi and Felix Otto:
Uniform energy distribution for an isoperimetric problem with long-range interactions
In: Journal of the American Mathematical Society,
22 (2009) 2, p. 569-605
Bibtex DOI: 10.1090/S0894-0347-08-00622-XAntonio Capella and Felix Otto:
A rigidity result for a perturbation of the geometrically linear three-well problem
In: Communications on pure and applied mathematics,
62 (2009) 12, p. 1632-1669
Bibtex DOI: 10.1002/cpa.20297Karl Glasner ; Felix Otto ; Tobias Rump and Dejan Slepčev:
Ostwald ripening of droplets : the role of migration
In: European journal of applied mathematics,
20 (2009) 1, p. 1-67
Bibtex DOI: 10.1017/S0956792508007559Natalie Grunewald ; Felix Otto ; Cédric Villani and Maria G. Westdickenberg:
A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
In: Annales de l'Institut Henri Poincaré / B,
45 (2009) 2, p. 302-351
Bibtex DOI: 10.1214/07-AIHP200Felix Otto:
Optimal bounds on the Kuramoto-Sivashinsky equation
In: Journal of functional analysis,
257 (2009) 7, p. 2188-2245
Bibtex DOI: 10.1016/j.jfa.2009.01.034Felix Otto ; Giovanni Alberti and Rustum Choksi:
Uniform energy distribution for a model of pattern formation [In: PDE and materials
; September 13th - September 19th, 2009 ; report no. 42/2009]
In: Oberwolfach reports,
6 (2009) 3, p. 2397-2400
Bibtex DOI: 10.4171/OWR/2009/42Felix Otto and Antonio Capella:
A quantitative rigity result for the cubic-to-tetragonal phase transition in the geometrically
linear theory with interfacial energy [In: PDE and materials ; September 13th - September
19th, 2009 ; report no. 42/2009]
In: Oberwolfach reports,
6 (2009) 3, p. 2391-2393
Bibtex DOI: 10.4171/OWR/2009/42Felix Otto and Karl-Theodor Sturm:
Arbeitsgemeinschaft : Optimal transport and geometry ; March 29th - April 4th, 2009
; report no. 18/2009
In: Oberwolfach reports,
6 (2009) 2, p. 983-1018
Bibtex DOI: 10.4171/OWR/2009/18Rustum Choksi ; Sergio Conti ; Robert V. Kohn and Felix Otto:
Ground state energy scaling laws during the onset and destruction of the intermediate
state in a type I superconductor
In: Communications on pure and applied mathematics,
61 (2008) 5, p. 595-626
Bibtex DOI: 10.1002/cpa.20206Lorenzo Giacomelli ; Hans Knüpfer and Felix Otto:
Smooth zero-contact-angle solutions to a thin-film equation around the steady state
In: Journal of differential equations,
245 (2008) 6, p. 1454-1506
Bibtex DOI: 10.1016/j.jde.2008.06.005Radu Ignat and Felix Otto:
A compactness result in thin-film micromagnetics and the optimality of the Néel
wall
In: Journal of the European Mathematical Society,
10 (2008) 4, p. 909-956
Bibtex DOI: 10.4171/JEMS/135 LINK: https://www.researchgate.net/publication/243118562Felix Otto:
Pattern formation and partial differential equations [In: Dynamics of patterns ; December
14th - December 20th, 2008 ; report no. 57/2008]
In: Oberwolfach reports,
5 (2008) 4, p. 3259-3261
Bibtex DOI: 10.4171/OWR/2008/57Felix Otto and Athanasios Tzavaras:
Continuity of velocity gradients in suspensions of rod-like molecules
In: Communications in mathematical physics,
277 (2008) 3, p. 729-758
Bibtex DOI: 10.1007/s00220-007-0373-5 LINK: http://www.tem.uoc.gr/~tzavaras/reprints/existence.pdfGabriel Stoltz ; Tony Lelièvre ; Felix Otto and Mathias Rousset:
Computation of free energy differences [In: Atomistic models of materials : mathematical
challenges ; April 27th - May 3rd, 2008 ; report no. 21/2008]
In: Oberwolfach reports,
5 (2008) 2, p. 1087-1088
Bibtex DOI: 10.4171/OWR/2008/21Rubén Cantero-Álvarez ; Felix Otto and Jutta Steiner:
The concertina pattern : a bifurcation in ferromagnetic thin films
In: Journal of nonlinear science,
17 (2007) 3, p. 221-281
Bibtex DOI: 10.1007/s00332-006-0805-yAntonio Capella ; Christof Melcher and Felix Otto:
Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls
In: Nonlinearity,
20 (2007) 11, p. 2519-2537
Bibtex DOI: 10.1088/0951-7715/20/11/004Antonio DeSimone ; Natalie Grunewald and Felix Otto:
A new model for contact angle hysteresis
In: Networks and heterogeneous media,
2 (2007) 2, p. 211-225
Bibtex DOI: 10.3934/nhm.2007.2.211 LINK: http://sfb611.iam.uni-bonn.de/uploads/280-komplett.pdfRobert V. Kohn ; Felix Otto ; Maria G. Westdickenberg and Eric Vanden-Eijnden:
Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation
In: Communications on pure and applied mathematics,
60 (2007) 3, p. 393-438
Bibtex DOI: 10.1002/cpa.20144Christof Melcher ; Antonio Capella and Felix Otto:
Magnetic domain wall motion [In: Phase transitions ; June 3rd - June 9th, 2007 ; report
no. 28/2007]
In: Oberwolfach reports,
4 (2007) 2, p. 1614-1616
Bibtex DOI: 10.4171/OWR/2007/28Felix Otto and Maria G. Westdickenberg:
A new criterion for the logarithmic Sobolev inequality and two applications
In: Journal of functional analysis,
243 (2007) 1, p. 121-157
Bibtex DOI: 10.1016/j.jfa.2006.10.002Felix Otto and Maria G. Westdickenberg:
Slow motion of gradient flows
In: Journal of differential equations,
237 (2007) 2, p. 372-420
Bibtex DOI: 10.1016/j.jde.2007.03.007Nils Wiese ; Stephen McVitie ; Antonio Capella and Felix Otto:
On the scaling behaviour of cross-tie domain wall structures in patterned NiFe elements
In: epl,
80 (2007) 5, 57003
Bibtex DOI: 10.1209/0295-5075/80/57003 ARXIV: https://arxiv.org/abs/0710.1963Rubén Cantero-Álvarez and Felix Otto:
Critical fields in ferromagnetic thin films : identification of four regimes
In: Journal of nonlinear science,
16 (2006) 4, p. 351-383
Bibtex DOI: 10.1007/s00332-004-0683-0Rubén Cantero-Álvarez and Felix Otto:
Oscillatory buckling mode in thin-film nucleation
In: Journal of nonlinear science,
16 (2006) 4, p. 385-413
Bibtex DOI: 10.1007/s00332-004-0684-zSergio Conti ; Rustum Choksi ; Robert V. Kohn and Felix Otto:
Energy scaling and domain branching in type-I superconductors [In: PDE and materials
; September 24th - September 30th, 2006 ; report no. 44/2006]
In: Oberwolfach reports,
3 (2006) 4, p. 2644-2647
Bibtex DOI: 10.4171/OWR/2006/44Sergio Conti ; Andreas Hönig ; Barbara Niethammer and Felix Otto:
Nonuniversality in low-volume-fraction Ostwald ripening
In: Journal of statistical physics,
124 (2006) 1, p. 231-259
Bibtex DOI: 10.1007/s10955-006-9154-3Sergio Conti ; Barbara Niethammer and Felix Otto:
Coarsening rates in off-critical mixtures
In: SIAM journal on mathematical analysis,
37 (2006) 6, p. 1732-1741
Bibtex DOI: 10.1137/040620059Antonio DeSimone ; Hans Knüpfer and Felix Otto:
2-d stability of the Néel wall
In: Calculus of variations and partial differential equations,
27 (2006) 2, p. 233-253
Bibtex DOI: 10.1007/s00526-006-0019-zCharles R. Doering ; Felix Otto and Maria G. Westdickenberg:
Bounds on vertical heat transport for infinite-Prandtl-number Raleigh-Bénard
convection
In: Journal of fluid mechanics,
560 (2006), p. 229-241
Bibtex DOI: 10.1017/S0022112006000097 LINK: https://www.researchgate.net/publication/231787971Christiane Helzel and Felix Otto:
Multiscale simulations for suspensions of rod-like molecules
In: Journal of computational physics,
216 (2006) 1, p. 52-75
Bibtex DOI: 10.1016/j.jcp.2005.11.028Benjamin Jourdain ; Claude Le Bris ; Tony Lelièvre and Felix Otto:
Long-time asymptotics of a multiscale model for polymeric fluid flows
In: Archive for rational mechanics and analysis,
181 (2006) 1, p. 97-148
Bibtex DOI: 10.1007/s00205-005-0411-4Hans Knüpfer ; Antonio DeSimone and Felix Otto:
2-d stability of the Néel wall [In: Calculus of variations ; July 9th - July
15th, 2006 ; report no. 31/2006]
In: Oberwolfach reports,
3 (2006) 3, p. 1928-1930
Bibtex DOI: 10.4171/OWR/2006/31Govind Menon and Felix Otto:
Diffusive slowdown in miscible viscous fingering
In: Communications in mathematical sciences,
4 (2006) 1, p. 267-273
Bibtex DOI: 10.4310/CMS.2006.v4.n1.a11Felix Otto ; Rubén Cantero-Álvarez and Jutta Steiner:
Pattern formation in micromagnetics [In: Calculus of variations ; July 9th - July
15th, 2006 ; report no. 31/2006]
In: Oberwolfach reports,
3 (2006) 3, p. 1910-1910
Bibtex DOI: 10.4171/OWR/2006/31Felix Otto ; Tobias Rump and Dejan Slepčev:
Coarsening rates for a droplet model : rigorous upper bounds
In: SIAM journal on mathematical analysis,
38 (2006) 2, p. 503-529
Bibtex DOI: 10.1137/050630192Felix Otto and Michael Westdickenberg:
Eulerian calculus for the contraction in the Wasserstein distance
In: SIAM journal on mathematical analysis,
37 (2006) 4, p. 1227-1255
Bibtex DOI: 10.1137/050622420 LINK: http://www.instmath.rwth-aachen.de/~mwest/publications/Lorenzo Giacomelli and Felix Otto:
New bounds for the Kuramoto-Sivashinsky equation
In: Communications on pure and applied mathematics,
58 (2005) 3, p. 297-318
Bibtex DOI: 10.1002/cpa.20031Andreas Hönig ; Barbara Niethammer and Felix Otto:
On first-order corrections to the LSW theory. Pt. 1 Infinite systems
In: Journal of statistical physics,
119 (2005) 1/2, p. 61-122
Bibtex MIS-Preprint: 25/2002 DOI: 10.1007/s10955-004-2057-2Andreas Hönig ; Barbara Niethammer and Felix Otto:
On first-order corrections to the LSW theory. Pt. 2 Finite systems
In: Journal of statistical physics,
119 (2005) 1/2, p. 123-164
Bibtex MIS-Preprint: 25/2002 DOI: 10.1007/s10955-004-2058-1Govind Menon and Felix Otto:
Dynamic scaling in miscible viscous fingering
In: Communications in mathematical physics,
257 (2005) 2, p. 303-317
Bibtex DOI: 10.1007/s00220-004-1264-7Barbara Niethammer ; Andreas Hönig ; Felix Otto and Juan J. L. Velázquez:
A non-equilibrium statistical mechanics approach to effective theories of domain coarsening
[In: Reactive flow and transport through complex systems ; Oktober 30th - November
5th, 2005 ; report no. 49/2005]
In: Oberwolfach reports,
2 (2005) 4, p. 2812-2813
Bibtex DOI: 10.4171/OWR/2005/49Felix Otto and Michael Westdickenberg:
Convergence of thin film approximation for a scalar conservation law
In: Journal of hyperbolic differential equations,
2 (2005) 1, p. 183-199
Bibtex DOI: 10.1142/S0219891605000427Rustum Choksi ; Robert V. Kohn and Felix Otto:
Energy minimization and flux domain structure in the intermediate state of a type-I
superconductor
In: Journal of nonlinear science,
14 (2004) 2, p. 119-171
Bibtex DOI: 10.1007/s00332-004-0568-2Camillo De Lellis ; Felix Otto and Michael Westdickenberg:
Minimal entropy conditions for Burgers equation
In: Quarterly of applied mathematics,
62 (2004) 4, p. 687-700
Bibtex MIS-Preprint: 60/2003 DOI: 10.1090/qam/2104269Camillo De Lellis ; Felix Otto and Michael Westdickenberg:
Minimal entropy conditions for Burgers equation [In: Hyperbolic conservation laws
; April 4th - April 10th, 2004 ; report no. 18/2004]
In: Oberwolfach reports,
1 (2004) 2, p. 925-925
Bibtex DOI: 10.4171/OWR/2004/18Pierre-Emmanuel Jabin and Felix Otto:
Identification of the dilute regime in particle sedimentation
In: Communications in mathematical physics,
250 (2004) 2, p. 415-432
Bibtex DOI: 10.1007/s00220-004-1126-3Martin Kružík and Felix Otto:
A phenomenological model for hysteresis in polycrystalline shape memory alloys
In: Zeitschrift für angewandte Mathematik und Mechanik,
84 (2004) 12, p. 835-842
Bibtex DOI: 10.1002/zamm.200310139 LINK: https://www.researchgate.net/profile/Martin_Kruzik3/publication/229760014Felix Otto ; Camillo De Lellis and Michael Westdickenberg:
Structure of entropy solutions [In: Hyperbolic conservation laws ; April 4th - April
10th, 2004 ; report no. 18/2004]
In: Oberwolfach reports,
1 (2004) 2, p. 929-929
Bibtex DOI: 10.4171/OWR/2004/18Felix Otto and Robert V. Kohn:
Upper bounds on coarsening rates [In: Mini-workshop : multiscale modeling in epitaxial
growth ; January 18th - January 24th, 2004 ; report no. 4/2004]
In: Oberwolfach reports,
1 (2004) 1, p. 234-235
Bibtex DOI: 10.4171/OWR/2004/04Felix Otto ; Patrick Penzler ; Andreas Rätz ; Tobias Rump and Axel Voigt:
A diffuse-interface approximation for step flow in epitaxial growth
In: Nonlinearity,
17 (2004) 2, p. 477-491
Bibtex DOI: 10.1088/0951-7715/17/2/006 LINK: https://www.researchgate.net/publication/258288699Patrick Penzler ; Tobias Rump and Felix Otto:
Discretization and numerical tests of a diffuse-interface model with Ehrlich-Schwoebel
barrier [In: Mini-workshop : multiscale modeling in epitaxial growth ; January 18th
- January 24th, 2004 ; report no. 4/2004]
In: Oberwolfach reports,
1 (2004) 1, p. 235-235
Bibtex DOI: 10.4171/OWR/2004/04Camillo De Lellis and Felix Otto:
Structure of entropy solutions to the eikonal equation
In: Journal of the European Mathematical Society,
5 (2003) 2, p. 107-145
Bibtex MIS-Preprint: 47/2002 DOI: 10.1007/s10097-002-0048-7Camillo De Lellis ; Felix Otto and Michael Westdickenberg:
Structure of entropy solutions for multi-dimensional scalar conservation laws
In: Archive for rational mechanics and analysis,
170 (2003) 2, p. 137-184
Bibtex MIS-Preprint: 95/2002 DOI: 10.1007/s00205-003-0270-9Antonio DeSimone ; Robert V. Kohn ; Stefan Müller and Felix Otto:
Repulsive interaction of Néel walls, and the internal length scale of the
cross-tie wall
In: Multiscale modeling and simulation,
1 (2003) 1, p. 57-104
Bibtex MIS-Preprint: 17/2002 DOI: 10.1137/S1540345902402734Lorenzo Giacomelli and Felix Otto:
Rigorous lubrication approximation
In: Interfaces and free boundaries,
5 (2003) 4, p. 483-529
Bibtex DOI: 10.4171/IFB/88Felix Otto:
Excitations in thin film ferromagnetic elements [In: PDE and materials ; September
7th - September 13th, 2003 ; report no. 39/2003]
In: Oberwolfach reports,
2003 (2003) 39, p. 3-3
Bibtex DOI: 10.14760/TB-2003-39Stephen J. Watson ; Felix Otto ; Boris Y. Rubinstein and Stephen H. Davis:
Coarsening dynamics for the convective Cahn-Hilliard equation
In: Physica / D,
178 (2003) 3-4, p. 127-148
Bibtex MIS-Preprint: 35/2002 DOI: 10.1016/S0167-2789(03)00048-4Antonio DeSimone ; Robert V. Kohn ; Stefan Müller and Felix Otto:
A reduced theory for thin-film micromagnetics
In: Communications on pure and applied mathematics,
55 (2002) 11, p. 1408-1460
Bibtex MIS-Preprint: 82/2001 DOI: 10.1002/cpa.3028Antonio DeSimone ; Robert V. Kohn ; Stefan Müller ; Felix Otto and Rudolf Schäfer:
Low energy domain patterns in soft ferromagnetic films
In: Journal of magnetism and magnetic materials,
242-245 (2002) 2, p. 1047-1051
Bibtex MIS-Preprint: 77/2001 DOI: 10.1016/S0304-8853(01)01356-7Lorenzo Giacomelli and Felix Otto:
Droplet spreading : intermediate scaling law by PDE methods
In: Communications on pure and applied mathematics,
55 (2002) 2, p. 217-254
Bibtex MIS-Preprint: 74/2000 DOI: 10.1002/cpa.10017Pierre-Emmanuel Jabin ; Felix Otto and Benoît Perthame:
Line-energy Ginzburg-Landau models : zero-energy states
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze,
1 (2002) 2, p. 187-202
Bibtex LINK: http://www.numdam.org/item?id=ASNSP_2002_5_1_1_187_0Robert V. Kohn and Felix Otto:
Upper bounds on coarsening rates
In: Communications in mathematical physics,
229 (2002) 3, p. 375-395
Bibtex DOI: 10.1007/s00220-002-0693-4Felix Otto and Camillo De Lellis:
Structure of entropy solutions [In: Calculus of variations ; June 30th - July 6th,
2002 ; report no. 33/2002]
In: Oberwolfach reports,
2002 (2002) 33, p. 8-8
Bibtex DOI: 10.14760/TB-2002-33Antonio DeSimone ; Robert V. Kohn ; Stefan Müller ; Felix Otto and Rudolf Schäfer:
Two-dimensional modelling of soft ferromagnetic films
In: Proceedings of the Royal Society of London / A,
457 (2001) 2016, p. 2983-2991
Bibtex MIS-Preprint: 30/2000 DOI: 10.1098/rspa.2001.0846 ARXIV: https://arxiv.org/abs/cond-mat/0005057Antonio DeSimone ; Stefan Müller ; Robert V. Kohn and Felix Otto:
A compactness result in the gradient theory of phase transitions
In: Proceedings of the Royal Society of Edinburgh / A,
131 (2001) 4, p. 833-844
Bibtex MIS-Preprint: 23/1999 DOI: 10.1017/S030821050000113XLorenzo Giacomelli and Felix Otto:
Variational formulation for the lubrication approximation of the Hele-Shaw flow
In: Calculus of variations and partial differential equations,
13 (2001) 3, p. 377-403
Bibtex MIS-Preprint: 32/2000 DOI: 10.1007/s005260000077Barbara Niethammer and Felix Otto:
Ostwald ripening : the screening length revisited
In: Calculus of variations and partial differential equations,
13 (2001) 1, p. 33-68
Bibtex DOI: 10.1007/PL00009923Barbara Niethammer and Felix Otto:
Domain coarsening in thin films
In: Communications on pure and applied mathematics,
54 (2001) 3, p. 361-384
Bibtex DOI: 10.4310/CMS.2011.v9.n1.a7Felix Otto:
The geometry of dissipative evolution equations: the porous medium equation
In: Communications in partial differential equations,
26 (2001) 1-2, p. 101-174
Bibtex MIS-Preprint: 8/1999 DOI: 10.1081/PDE-100002243Felix Otto:
Scaling laws for the cross-tie wall [In: Partial differential equations ; August 5th
- August 11th, 2001 ; report no. 35/2001]
In: Oberwolfach reports,
2001 (2001) 35, p. 8-8
Bibtex DOI: 10.14760/TB-2001-35Felix Otto and Cédric Villani:
Comment on 'Hypercontractivity of Hamilton-Jacobi equations', by S. Bobkov, I. Gentil
and M. Ledoux [J. Math. Pures Appl. (9) 80 (2001), no. 7, 669-696]
In: Journal de mathématiques pures et appliquées,
80 (2001) 7, p. 697-700
Bibtex DOI: 10.1016/S0021-7824(01)01207-7Peter Knabner and Felix Otto:
Solute transport in porous media with equilibrium and nonequilibrium multiple-site
adsorption : uniqueness of weak solutions
In: Nonlinear analysis / A,
42 (2000) 3, p. 381-403
Bibtex DOI: 10.1016/S0362-546X(98)00352-6Felix Otto:
Evolution of microstructure in two-phase flow [In: The mathematics of porous media
= Mathematik poröser Medien ; 23.01. - 29.01.2000 ; report no. 04/2000]
In: Oberwolfach reports,
2000 (2000) 4, p. 6-6
Bibtex DOI: 10.14760/TB-2000-4Felix Otto:
Thin viscous films [In: Mathematical continuum mechanics ; 20.08. - 26.08.2000 ; report
no. 34/2000]
In: Oberwolfach reports,
2000 (2000) 34, p. 9-10
Bibtex DOI: 10.14760/TB-2000-34Felix Otto and Cédric Villani:
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev
inequality
In: Journal of functional analysis,
173 (2000) 2, p. 361-400
Bibtex DOI: 10.1006/jfan.1999.3557Rustum Choksi ; Robert V. Kohn and Felix Otto:
Domain branching in uniaxial ferromagnets : a scaling law for the minimum energy
In: Communications in mathematical physics,
201 (1999) 1, p. 61-79
Bibtex DOI: 10.1007/s002200050549Felix Otto:
Evolution of microstructure in unstable porous media flow : a relaxational approach
In: Communications on pure and applied mathematics,
52 (1999) 7, p. 873-915
Bibtex LINK: https://onlinelibrary.wiley.com/toc/10970312/1999/52/7Felix Otto:
The geometry of dissipative evolution equations : the porous medium equation [In:
Partial differential equations ; 13.06. - 19.06.1999 ; Tagungsbericht 26/1999]
In: Oberwolfach reports,
1999 (1999) 24, p. 7-7
Bibtex DOI: 10.14760/TB-1999-24Richard Jordan ; David Kinderlehrer and Felix Otto:
The variational formulation of the Fokker-Planck equation
In: SIAM journal on mathematical analysis,
29 (1998) 1, p. 1-17
Bibtex DOI: 10.1137/S0036141096303359 LINK: https://sinews.siam.org/Details-Page/the-impact-of-the-siam-journal-on-mathematical-analysis-most-popular-paperFelix Otto:
Lubrication approximation with prescribed nonzero contact angle
In: Communications in partial differential equations,
23 (1998) 11/12, p. 2077-2164
Bibtex DOI: 10.1080/03605309808821411Felix Otto:
Dynamics of labyrinthine pattern formation in magnetic fluids : a mean-field theory
In: Archive for rational mechanics and analysis,
141 (1998) 1, p. 63-103
Bibtex DOI: 10.1007/s002050050073Felix Otto:
A regularizing effect of nonlinear transport equations
In: Quarterly of applied mathematics,
56 (1998) 2, p. 355-375
Bibtex Richard Jordan ; David Kinderlehrer and Felix Otto:
Free energy and the Fokker-Planck equation
In: Physica / D,
107 (1997) 2-4, p. 265-271
Bibtex DOI: 10.1016/S0167-2789(97)00093-6Robert V. Kohn and Felix Otto:
Small surface energy, coarse-graining, and selection of microstructure
In: Physica / D,
107 (1997) 2-4, p. 272-289
Bibtex DOI: 10.1016/S0167-2789(97)00094-8Felix Otto:
Viscous fingering : an optimal bound on the growth rate of the mixing zone
In: SIAM journal on applied mathematics,
57 (1997) 4, p. 982-990
Bibtex DOI: 10.1137/S003613999529438XFelix Otto:
L1-contraction and uniqueness for unstationary saturated-unsaturated porous media
flow
In: Advances in mathematical sciences and applications,
7 (1997) 2, p. 537-553
Bibtex Felix Otto and Weinan E:
Thermodynamically driven incompressible fluid mixtures
In: The journal of chemical physics,
107 (1997) 23, p. 10177-10184
Bibtex DOI: 10.1063/1.474153Felix Otto:
Initial-boundary value problem for a scalar conservation law
In: Comptes rendus de l'Académie des Sciences / 1,
322 (1996) 8, p. 729-734
Bibtex Felix Otto:
L1-contraction and uniqueness for quasilinear elliptic-parabolic equations
In: Journal of differential equations,
131 (1996) 1, p. 20-38
Bibtex DOI: 10.1006/jdeq.1996.0155Felix Otto:
L1-contraction and uniqueness for quasilinear elliptic-parabolic equations
In: Comptes rendus de l'Académie des Sciences / 1,
321 (1995) 8, p. 1005-1010
Bibtex Publications in Books and Conference Proceedings
Tim Bastian Laux and Felix Otto:
The thresholding scheme for mean curvature flow and De Giorgi's ideas for minimizing
movements
In: The role of metrics in the theory of partial differential equations : proceedings
; July 2-13, 2018 ; Hokkaido University, Sapporo / Yoshikazu Giga... (eds.)
Tokyo : Mathematical Society of Japan, 2020. - P. 63-93
(Advanced studies in pure mathematics ; 85)
Bibtex DOI: 10.2969/aspm/08510063 ARXIV: https://arxiv.org/abs/1910.11442 LINK: http://www.mis.mpg.de/fileadmin/otto/Proceedings090119-2019-02-19.pdfFelix Otto:
Nonlinear partial differential equations and interfacial motions as gradient flow
In: The role of metrics in the theory of partial differential equations : [program and
abstracts] ; July 2-13, 2018 ; Hokkaido University, Sapporo / Yoshikazu Giga... (eds.)
Sapporo : Hokkaido University, 2018. - P. 33-43
(Hokkaido University technical report series in mathematics ; 174)
Bibtex DOI: 10.14943/85258John M. Ball ; Eduard Feireisl and Felix Otto:
Preface to CIME lecture notes
In: Mathematical thermodynamics of complex fluids : Cetraro, Italy, June 29 - July 3,
2015 / John M. Ball
Cham : Springer, 2017
(Lecture notes in mathematics ; 2200)
Bibtex DOI: 10.1007/978-3-319-67600-5Peter Bella ; Arianna Giunti and Felix Otto:
Quantitative stochastic homogenization : local control of homogenization error through
corrector
In: Mathematics and materials / Mark J. Bowick... (eds.)
Providence, RI : American mathematical society, 2017. - P. 301-327
(IAS/Park City mathematics series ; 23)
Bibtex DOI: 10.1090/pcms/023/07 ARXIV: http://arxiv.org/abs/1504.02487Felix Otto ; Steffen Pottel and Camilla Nobili:
Rigorous bounds on scaling laws in fluid dynamics
In: Mathematical thermodynamics of complex fluids : Cetraro, Italy, June 29 - July 3,
2015 / John M. Ball
Cham : Springer, 2017. - P. 101-145
(Lecture notes in mathematics ; 2200)
Bibtex DOI: 10.1007/978-3-319-67600-5_3Lukas Döring ; Elias Esselborn ; Samuel Ferraz-Leite and Felix Otto:
Domain configurations in soft ferromagnetic films under external field
In: Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical
Modelling, Vienna, February 15 - 17, 2012
Bibtex MIS-Preprint: 3/2012 DOI: 10.3182/20120215-3-AT-3016.00087Vienna : International Federation of Automatic Control, 2012. - P. 498-503
Gianluca Crippa ; Felix Otto and Michael Westdickenberg:
Regularizing effect of nonlinearity in multidimensional scalar conservation laws
In: Transport equations and multi-D hyperbolic conservation laws / Luigi Ambrosio... (eds.)
Berlin : Springer, 2008. - P. 77-128
(Lecture notes of the Unione Matematica Italiana ; 5)
Bibtex DOI: 10.1007/978-3-540-76781-7_3Julia Dohmen ; Natalie Grunewald ; Felix Otto and Martin Rumpf:
Micro structures in thin coating layers : micro structure evolution and macroscopic
contact angle
In: Mathematics - key technology for the future : joint projects between universities
and industry, 2004 - 2007 / Willi Jäger... (eds.)
Bibtex DOI: 10.1007/978-3-540-77203-3_7Berlin [u. a.] : Springer, 2008. - P. 75-97
Frank Haußer ; Felix Otto ; Patrick Penzler and Axel Voigt:
Numerical methods for the simulation of epitaxial growth and their application in
the study of a meander instability
In: Mathematics - key technology for the future : joint projects between universities
and industry, 2004 - 2007 / Willi Jäger... (eds.)
Bibtex DOI: 10.1007/978-3-540-77203-3_6Berlin [u. a.] : Springer, 2008. - P. 53-73
Christiane Helzel ; Jorrit Kirsten and Felix Otto:
Suspensions of rod-like molecules : a FV-ELLAM-type discretization of the Smoluchowski
equation describing the orientation of rod-like molecules
In: Finite volumes for complex applications V : proceedings of the 5th International Symposium
held in Aussois, June 2008 / Robert Eymard... (eds.)
Bibtex London : ISTE, 2008. - P. 495-502
Antonio DeSimone ; Robert V. Kohn ; Stefan Müller and Felix Otto:
Recent analytical developments in micromagnetics
In: The science of hysteresis. Vol. 2 Physical modeling, micromagnetics, and magnetization
dynamics / Giogio Bertotti... (eds.)
Bibtex MIS-Preprint: 80/2004 DOI: 10.1016/B978-012480874-4/50015-4Amsterdam : Elsevier [u. a.], 2006. - P. 269-381
Barbara Niethammer ; Felix Otto and Juan J. L. Velázquez:
On the effect of correlations, fluctuations and collisions in Ostwald ripening
In: Analysis, modeling and simulation of multiscale problems / Alexander Mielke (ed.)
Bibtex DOI: 10.1007/3-540-35657-6_18Berlin [u.a.] : Springer, 2006. - P. 501-530
Felix Otto ; Patrick Penzler and Tobias Rump:
Discretisation and numerical tests of a diffuse-interface model with Ehrlich-Schwoebel
barrier
In: Multiscale modeling in epitaxial growth : mini-workshop at Mathematisches Forschungsinstitut
Oberwolfach, January 18 - 24, 2004 / Axel Voigt (ed.)
Basel [u. a.] : Birkhäuser, 2005. - P. 127-158
(International series of numerical mathematics ; 149)
Bibtex DOI: 10.1007/3-7643-7343-1_9Reiner Henseler ; Barbara Niethammer and Felix Otto:
A reduced model for simulating grain growth
In: Free boundary problems : theory and applications / Pierluigi Colli... (eds.)
Bibtex Basel [u. a.] : Birkhäuser, 2004. - P. 177-187
Sergio Conti ; Antonio DeSimone ; Georg Dolzmann ; Stefan Müller and Felix Otto:
Multiscale modeling of materials : the role of analysis
In: Trends in nonlinear analysis / Markus Kirkilionis... (eds.)
Bibtex MIS-Preprint: 1/2002 DOI: 10.1007/978-3-662-05281-5_11Berlin [u. a.] : Springer, 2003. - P. 375-408
Felix Otto:
Cross-over in scaling laws : a simple example from micromagnetics
In: Proceedings of the International Congress of Mathematicians : Beijing, 2002, August
20 - 28. Pt. 3 Invited lectures / Li Tatsien (ed.)
Bibtex ARXIV: http://arxiv.org/abs/math-ph/0305001 LINK: https://www.mathunion.org/fileadmin/ICM/Proceedings/ICM2002.3/ICM2002.3.ocr.pdfBeijing : Higher Education Press, 2002. - P. 829-838
Felix Otto:
Evolution of microstructure : an example
In: Ergodic theory, analysis, and efficient simulation of dynamical systems / Bernd Fiedler (ed.)
Bibtex Berlin [u. a.] : Springer, 2001. - P. 501-522
Antonio DeSimone ; Robert V. Kohn ; Stefan Müller and Felix Otto:
Magnetic microstructures : a paradigm of multiscale problems
In: ICIAM 99 : proceedings of the Fourth International Congress on Industrial and Applied
Mathematics, Edinburgh / John M. Ball... (eds.)
Bibtex MIS-Preprint: 70/1999 Oxford : Oxford University Press, 2000. - P. 175-190
Richard Jordan ; David Kinderlehrer and Felix Otto:
The route to stability through Fokker-Planck dynamics
In: Differential equations and applications : proceedings of the US-Chinese conference,
held in Hangzhou, June 24 - 29, 1996 / edited by P. W. Bates ... / P. W. Bates (ed.)
Bibtex Boston [u. a.] : International Press, 1997. - P. 108-126
Richard Jordan ; David Kinderlehrer and Felix Otto:
Remarks about metastability
In: Computational science for the 21st century : dedicated to Prof. Roland Glowinski on
the occasion of his 60th birthday ; symposium, tours, France, May 5-7, 1997 / Marie Odile Bristeau (ed.)
Bibtex Chichester : Wiley, 1997. - P. 3-12
Josef Málek ; Jindrich Necas ; M. Rokyta ; M. Ruzicka and Felix Otto:
Scalar conservation laws
In: Weak and measure-valued solutions to evolutionary PDEs / Josef Málek... (eds.)
London : Chapman and Hall/CRS, 1996. - P. 41-143
(Applied mathematics and mathematical computation ; 13)
Bibtex Preprints
Nicolas Clozeau ; Marc Josien ; Felix Otto and Qiang Xu:
Bias in the representative volume element method : periodize the ensemble instead
of its realizations
Repository Open AccessBenjamin Gess ; Rishabh S. Gvalani ; Florian Kunick and Felix Otto:
Thermodynamically consistent and positivity-preserving discretization of the thin-film
equation with thermal noise
Repository Open AccessRadu Ignat ; Felix Otto ; Tobias Ried and Pavlos Tsatsoulis:
Variational methods for a singular SPDE yielding the universality of the magnetization
ripple
(Communications on pure and applied mathematics)
Bibtex ARXIV: https://arxiv.org/abs/2010.13123Pablo Linares ; Felix Otto ; Markus Tempelmayr and Pavlos Tsatsoulis:
A diagram-free approach to the stochastic estimates in regularity structures
Repository Open AccessPablo Linares ; Markus Tempelmayr and Felix Otto:
The structure group for quasi-linear equations via universal enveloping algebras
Repository Open AccessJianfeng Lu ; Felix Otto and Lihan Wang:
Optimal artificial boundary conditions based on second-order correctors for three
dimensional random elliptic media
Repository Open AccessFelix Otto ; Francesco Mattesini and Martin Huesmann:
There is no stationary cyclically monotone Poisson matching in 2d
Repository Open AccessFelix Otto ; Jonas Sauer ; Scott A. Smith and Hendrik Weber:
A priori bounds for quasi-linear SPDEs in the full sub-critical regime
Repository Open AccessDeniz Dizdar ; Georg Menz ; Felix Otto and Tianqi Wu:
Toward a quantitative theory of the hydrodynamic limit
Repository Open AccessDeniz Dizdar ; Georg Menz ; Felix Otto and Tianqi Wu:
The quantitative hydrodynamic limit of the Kawasaki dynamics
Repository Open AccessMichael Goldman ; Martin Huesmann and Felix Otto:
A large-scale regularity theory for the Monge-Ampere equation with rough data and
application to the optimal matching problem
Repository Open AccessFelix Otto ; Jonas Sauer ; Scott A. Smith and Hendrik Weber:
Parabolic equations with rough coefficients and singular forcing
Repository Open AccessPeter Bella ; Arianna Giunti and Felix Otto:
Liouville properties and error estimates for elliptic equations in exterior domains
Venera Khoromskaia ; Boris N. Khoromskij and Felix Otto:
A numerical primer in 2D stochastic homogenization : CLT scaling in the representative
volume element
Repository Open AccessAntoine Gloria and Felix Otto:
The corrector in stochastic homogenization : optimal rates, stochastic integrability,
and fluctuations
Repository Open AccessJianfeng Lu and Felix Otto:
An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus
Repository Open AccessFelix Otto and Hendrik Weber:
Hölder regularity for a non-linear parabolic equation driven by space-time
white noise
Bibtex MIS-Preprint: 31/2015 ARXIV: http://arxiv.org/abs/1505.00809
Repository Open AccessAntoine Gloria and Felix Otto:
Quantitative theory in stochastic homogenization
Antoine Gloria ; Stefan Neukamm and Felix Otto:
Quantification of ergodicity in stochastic homogenization : optimal bounds via spectral
gap on Glauber dynamics - long version
Repository Open AccessTony Lelièvre ; Felix Otto ; Mathias Rousset and Gabriel Stoltz:
Long-time convergence of an adaptive biasing force method
Repository Open AccessLorenzo Giacomelli ; Hans Knüpfer and Felix Otto:
Maximal regularity for a degenerate operator of fourth order
Felix Otto:
Doubly degenerate diffusion equations as steepest descent
Repository Open AccessFelix Otto:
Stability investigation of planar solutions of the Buckley-Leverett equations
Repository Open AccessBooks
John M. Ball ; Eduard Feireisl and Felix Otto:
Mathematical thermodynamics of complex fluids : Cetraro, Italy, June 29 - July 3,
2015
Cham : Springer, 2017. - IX, 145 p.
(Lecture notes in mathematics ; 2200)
ISBN 978-3-319-67600-5 ISBN 978-3-319-67599-2
Bibtex DOI: 10.1007/978-3-319-67600-5Luigi Ambrosio ; Gianluca Crippa ; Camillo De Lellis ; Felix Otto and Michael Westdickenberg (eds.):
Transport equations and multi-D hyperbolic conservation laws
Berlin : Springer, 2008. - XIV, 130 p.
(Lecture notes of the Unione Matematica Italiana ; 5)
ISBN 978-3-540-76780-0 ISBN 978-3-540-76781-7
Bibtex DOI: 10.1007/978-3-540-76781-7Academic Theses
Felix Otto:
Ein Randwertproblem für skalare Erhaltungssätze
Dissertation, Universität Bonn, 1992
Bibtex Miscellaneous
Felix Otto:
The impact of the SIAM Journal on Mathematical Analysis' most popular paper
Felix Otto:
Eine Fields-Medaille für Cedric Villani
(Mitteilungen der Deutschen Mathematiker-Vereinigung ; 19)
Bibtex DOI: 10.1515/dmvm-2011-0013 LINK: http://page.math.tu-berlin.de/~mdmv/archive/19/mdmv-19-1-024.pdfGo directly to Publications:
