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
- 585

Gradient flow and Wasserstein distance

  1. Felix Otto ; Sebastian Scholtes and Maria G. Westdickenberg: Optimal L1-type relaxation rates for the Cahn-Hilliard equation on the line

  2. Olga Chugreeva ; Felix Otto and Maria G. Westdickenberg: Optimal relaxation to a planar interface in the Mullins-Sekerka problem
    In: Interfaces and free boundaries, 21 (2019) 1, p. 21-40
    [DOI] [ARXIV]

  3. Michael Goldman and Felix Otto: A variational proof of partial regularity for optimal transportation maps

  4. 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]

  5. 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]

  6. Nicola 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
    MIS-Preprint: 39/2012 [DOI]

  7. Felix 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
    [DOI] [FREELINK]

  8. Felix Otto: The geometry of dissipative evolution equations: the porous medium equation
    In: Communications in partial differential equations, 26 (2001) 1-2, p. 101-174
    MIS-Preprint: 8/1999 [DOI]

  9. 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.)
    Boston [u. a.] : International Press, 1997. - P. 108-126

  10. Richard Jordan ; David Kinderlehrer and Felix Otto: Free energy and the Fokker-Planck equation
    In: Physica / D, 107 (1997) 2-4, p. 265-271
    [DOI]

  11. Richard 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
    [DOI] [FREELINK]

  12. Felix 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
    [DOI]

  13. Felix Otto: Doubly degenerate diffusion equations as steepest descent

16.07.2019, 06:05