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

 

Viscous thin films

  1. Lorenzo Giacomelli, Manuel Gnann, and Felix Otto.
    Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3.
    MPI MiS Preprint No. 23/2012
    more info and download

  2. Julia Dohmen, Natalie Grunewald, Felix Otto, and Martin Rumpf.
    Micro structures in thin coating layers: micro structure evolution and macroscopic contact angle.
    In Mathematics-key technology for the future, pages 75-97. Springer, Berlin, 2008.

  3. Lorenzo Giacomelli, Hans Knüpfer, and Felix Otto.
    Smooth zero-contact-angle solutions to a thin-film equation around the steady state.
    J. Differential Equations, 245(6):1454-1506, 2008.
    download (PDF, 364 kbyte)

  4. Antonio DeSimone, Natalie Grunewald, and Felix Otto.
    A new model for contact angle hysteresis.
    Netw. Heterog. Media, 2(2):211-225 (electronic), 2007.

  5. Felix Otto and Michael Westdickenberg.
    Convergence of thin film approximation for a scalar conservation law.
    J. Hyperbolic Differ. Equ., 2(1):183-199, 2005.

  6. Lorenzo Giacomelli, Hans Knüpfer, and Felix Otto.
    Maximal regularity for a degenerate operator of fourth order.
    SFB Preprint, 160, 2004.
    download (PDF, 263 kbyte)

  7. Lorenzo Giacomelli and Felix Otto.
    Rigorous lubrication approximation.
    Interfaces and Free boundaries, 5(4):483-529, 2003.
    download (PS, 1731 kbyte)

  8. Lorenzo Giacomelli and Felix Otto.
    Droplet spreading: intermediate scaling law by PDE methods.
    Comm. Pure Appl. Math., 55(2):217-254, 2002.
    download (PS, 337 kbyte)

  9. Lorenzo Giacomelli and Felix Otto.
    Variational formulation for the lubrication approximation of the Hele-Shaw flow.
    Calc. Var. Partial Differential Equations, 13(3):377-403, 2001.
    download (PS, 309 kbyte)

  10. Felix Otto.
    Lubrication approximation with prescribed nonzero contact angle.
    Comm. Partial Differential Equations, 23(11-12):2077-2164, 1998.
    download (PS, 826 kbyte)
17.04.2013, 15:10