Pattern formation, energy landscapes, and scaling laws

Head:
Felix Otto

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

Secretary:
Katja Heid (née Bieling)

Contact: Email
Phone:
+49 (0) 341 - 9959 - 951
Fax:
+49 (0) 341 - 9959 - 585

Address:
Inselstr. 22
04103 Leipzig

 

Gradient flow and Wasserstein distance

  1. 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.
    submitted to Annals d’IHP.
    MPI MIS Preprint 1/2013

  2. Nicola Gigli and Felix Otto.
    Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric.  
    Calc. Var. DOI: 10.1007/s00526-012-0515-2 published online 03 April 2012.
    MPI MIS Preprint 39/2012

  3. Felix Otto and Michael Westdickenberg.
    Eulerian calculus for the contraction in the Wasserstein distance.
    SIAM J. Math. Anal., 37(4):1227-1255 (electronic), 2005.
    download (PDF, 359 kbyte)

  4. Felix Otto.
    The geometry of dissipative evolution equations: the porous medium equation.
    Comm. Partial Differential Equations, 26(1-2):101-174, 2001.
    download (PS, 971 kbyte)

  5. Felix Otto.
    Dynamics of labyrinthine pattern formation in magnetic fluids: a mean-field theory.
    Arch. Rational Mech. Anal., 141(1):63-103, 1998.
    download (PS, 705 kbyte)

  6. Richard Jordan, David Kinderlehrer, and Felix Otto.
    The variational formulation of the Fokker-Planck equation.
    SIAM J. Math. Anal., 29(1):1-17 (electronic), 1998.
    download (PS, 271 kbyte)

  7. Richard Jordan, David Kinderlehrer, and Felix Otto.
    Free energy and the Fokker-Planck equation.
    Phys. D, 107(2-4):265-271, 1997.
    (for full version see paper above)

  8. Felix Otto.
    Double degenerate diffusion equations as steepest descent.
    Preprint of the University of Bonn, 1996.
    download (PS, 593 kbyte)

  9. Richard Jordan, David Kinderlehrer, and Felix Otto.
    The route to stability through Fokker-Planck dynamics.
    In Differential equations and applications (Hangzhou, 1996), pages 108-126. Internat. Press, Cambridge, MA, 1996.
17.04.2013, 15:10