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:
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04103 Leipzig

 

Coarsening, Ostwald ripening

  1. Selim Esedoglu and Felix Otto.
    Threshold Dynamics for Networks with Arbitrary Surface Tensions.
    submitted to CPAM.
    MPI MIS Preprint 2/2013

  2. Felix Otto, Christian Seis, and Dejan Slepcev.
    Crossover of the coarsening rates in demixing of binary viscous liquids.
    MPI MIS Preprint 21/2012

  3. Yann Brenier, Felix Otto, and Christian Seis.
    Upper bounds on coarsening rates in demixing binary viscous liquids.
    SIAM J. Math. Anal. Volume 43, Issue 1, pp. 114-134 (2011).
    download (PDF, 337 kbyte)

  4. Karl Glasner, Felix Otto, Tobias Rump, and Dejan Slepcev.
    Ostwald ripening of droplets: the role of migration.
    European J. Appl. Math., 20(1):1-67, 2009.

  5. Felix Otto and Maria G. Reznikoff.
    Slow motion of gradient flows.
    J. Differential Equations, 237(2):372-420, 2007.
    download (PDF, 346 kbyte)

  6. Robert V. Kohn, Felix Otto, Maria G. Reznikoff, and Eric Vanden-Eijnden.
    Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation.
    Comm. Pure Appl. Math., 60(3):393-438, 2007.
    download (PDF, 427 kbyte)

  7. 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, pages 501-530. Springer, Berlin, 2006.

  8. Sergio Conti, Andreas Hönig, Barbara Niethammer, and Felix Otto.
    Nonuniversality in low-volume-fraction Ostwald ripening.
    J. Stat. Phys., 124(1):231-259, 2006.

  9. Sergio Conti, Barbara Niethammer, and Felix Otto.
    Coarsening rates in off-critical mixtures.
    SIAM J. Math. Anal., 37(6):1732-1741 (electronic), 2006.
    download (PDF, 116 kbyte)

  10. Felix Otto, Tobias Rump, and Dejan Slepcev.
    Coarsening rates for a droplet model: Rigorous upper bounds.
    SIAM J.Math.Anal., 38(2):503-529 (electronic), 2006.
    more information

  11. Andreas Hoenig, Barbara Niethammer, and Felix Otto.
    On first-order corrections to the LSW theory I: infinite systems.
    J. Stat. Phys., 119(1-2):61-122, 2005.

  12. Andreas Hoenig, Barbara Niethammer, and Felix Otto.
    On first-order corrections to the LSW theory II: finite systems.
    J. Stat. Phys., 119(1-2):123-164, 2005.

  13. Reiner Henseler, Barbara Niethammer, and Felix Otto.
    A reduced model for simulating grain growth.
    In Pierluigi Colli, Claudio Verdi, and Augusto Visintin, editors, Free Boundary Problems (Trento, 2002),
    volume 147 of International Series of Numerical Mathematics, pages 177-187. Birkhäuser, Basel, 2004.
    download (PS, 2366 kbyte)

  14. Stephen J. Watson, Felix Otto, Boris Y. Rubinstein, and Stephen H. Davis.
    Coarsening dynamics of the convective Cahn-Hilliard equation.
    Phys. D, 178(3-4):127-148, 2003.
    download (PS, 3028 kbyte)

  15. Robert V. Kohn and Felix Otto.
    Upper bounds on coarsening rates.
    Comm. Math. Phys., 229(3):375-395, 2002.
    download (PS, 285 kbyte)

  16. Barbara Niethammer and Felix Otto.
    Ostwald ripening: the screening length revisited.
    Calc. Var. Partial Differential Equations, 13(1):33-68, 2001.
    download (PS, 349 kbyte)

  17. Barbara Niethammer and Felix Otto.
    Domain coarsening in thin films.
    Comm. Pure Appl. Math., 54(3):361-384, 2001.
    download (PS, 233 kbyte)

  18. Weinan E and Felix Otto.
    Thermodynamically driven incompressible fluid mixtures.
    J. Chem. Phys., 107(23):10177-10184, 1997.
    download (PS, 293 kbyte)
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