Pattern formation, energy landscapes, and scaling laws

Head:
Felix Otto

Contact: Email
Phone:
+49 (0) 341 - 9959 - 950

Address:
Inselstr. 22
04103 Leipzig

Administrative Assistant:
Katja Heid
Email, Phone/Fax:
+49 (0) 341 - 9959
- 951
- 658

Coarsening, Ostwald ripening, grain growth

  1. Felix 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
    [DOI] [FREELINK]

  2. 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)
    [DOI] [ARXIV] [FREELINK]

  3. Felix 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
    [DOI] [FREELINK]

  4. Felix 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
    [DOI] [ARXIV]

  5. Felix 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)
    [DOI]

  6. Olga 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
    [DOI] [ARXIV]

  7. Tim Bastian Laux and Felix Otto: Brakke's inequality for the thresholding scheme
    In: Calculus of variations and partial differential equations, 59 (2020) 1, 39
    MIS-Preprint: 52/2017 [DOI] [ARXIV]

  8. Tim 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
    [FREELINK]

  9. Eleonora Cinti and Felix Otto: Interpolation inequalities in pattern formation
    In: Journal of functional analysis, 271 (2016) 11, p. 3348-3392
    MIS-Preprint: 56/2015 [DOI] [ARXIV]

  10. Tim 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
    MIS-Preprint: 33/2015 [DOI] [ARXIV]

  11. Felix 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
    [DOI] [FREELINK]

  12. Felix 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
    [DOI]

  13. Felix 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
    MIS-Preprint: 1/2013 [DOI] [ARXIV]

  14. Selim 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
    MIS-Preprint: 2/2013 [DOI]

  15. Selim 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
    [DOI] [FREELINK]

  16. Christian 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
    [DOI] [FREELINK]

  17. Felix 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
    MIS-Preprint: 21/2012 [DOI]

  18. Dejan 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
    [DOI]

  19. Yann 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
    [DOI]

  20. Karl 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
    [DOI]

  21. Barbara 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
    [DOI]

  22. Felix Otto and Maria G. Westdickenberg: Slow motion of gradient flows
    In: Journal of differential equations, 237 (2007) 2, p. 372-420
    [DOI]

  23. Sergio 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
    [DOI]

  24. 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.)
    Berlin [u.a.] : Springer, 2006. - P. 501-530
    [DOI]

  25. Felix 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
    [DOI]

  26. Robert 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
    [DOI]

  27. Felix 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
    [DOI]

  28. Sergio Conti ; Barbara Niethammer and Felix Otto: Coarsening rates in off-critical mixtures
    In: SIAM journal on mathematical analysis, 37 (2006) 6, p. 1732-1741
    [DOI]

  29. Reiner Henseler ; Barbara Niethammer and Felix Otto: A reduced model for simulating grain growth
    In: Free boundary problems : theory and applications / Pierluigi Colli... (eds.)
    Basel [u. a.] : Birkhäuser, 2004. - P. 177-187

  30. Stephen 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
    MIS-Preprint: 35/2002 [DOI]

  31. Andreas 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
    MIS-Preprint: 25/2002 [DOI]

  32. Andreas 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
    MIS-Preprint: 25/2002 [DOI]

  33. Robert V. Kohn and Felix Otto: Upper bounds on coarsening rates
    In: Communications in mathematical physics, 229 (2002) 3, p. 375-395
    [DOI]

  34. Barbara Niethammer and Felix Otto: Domain coarsening in thin films
    In: Communications on pure and applied mathematics, 54 (2001) 3, p. 361-384
    [DOI]

  35. Barbara Niethammer and Felix Otto: Ostwald ripening : the screening length revisited
    In: Calculus of variations and partial differential equations, 13 (2001) 1, p. 33-68
    [DOI]

  36. Felix Otto and Weinan E: Thermodynamically driven incompressible fluid mixtures
    In: The journal of chemical physics, 107 (1997) 23, p. 10177-10184
    [DOI]

21.09.2021, 06:05