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

Fluid dynamics, in particular Rayleigh-Benard, including Kuramoto-Sivashinsky

  1. Felix 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
    [DOI] [FREELINK]

  2. Felix 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)
    [DOI]

  3. John 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)
    [DOI]

  4. 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
    [DOI]

  5. Camilla Nobili and Felix Otto: Limitations of the background field method applied to Rayleigh-Bénard convection
    In: Journal of mathematical physics, 58 (2017) 9, 093102
    MIS-Preprint: 57/2016 [DOI] [ARXIV]

  6. Antoine 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
    [DOI] [ARXIV]

  7. Michael 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
    MIS-Preprint: 24/2015 [DOI] [ARXIV]

  8. Antoine 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
    MIS-Preprint: 116/2014 [DOI] [ARXIV]

  9. Felix 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
    [DOI] [FREELINK]

  10. D. 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
    [DOI] [ARXIV]

  11. Felix Otto and Christian Seis: Rayleigh-Bénard convection : improved bounds on the Nusselt number
    In: Journal of mathematical physics, 52 (2011) 8, 083702
    MIS-Preprint: 6/2011 [DOI]

  12. Felix 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
    [DOI]

  13. Felix 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
    [DOI]

  14. Felix Otto: Optimal bounds on the Kuramoto-Sivashinsky equation
    In: Journal of functional analysis, 257 (2009) 7, p. 2188-2245
    [DOI]

  15. Charles 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
    [DOI] [FREELINK]

  16. 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
    [DOI]

24.10.2021, 06:05