H.W. Alt
(Bonn) |
On the Entropy Principle for Interfaces |
E. Bänsch
(Erlangen) |
Finite Element Methods for Free Surface Flow |
L. Caffarelli
(Texas) |
Homogenization Methods for Fully Nonlinear Equations |
E. DiBenedetto
(Vanderbilt) |
Harnack Estimates for Degenerate Parabolic Equations |
W. Dörfler
(Karlsruhe) |
Convergence of an adaptive hp finite element method |
G. Dziuk
(Freiburg) |
Computational Methods for Willmore Flow
Abstract: Willmore Flow is a gradient flow for the classical bending energy of a surface, 1/2∫Γ H2. Here H is the mean curvature of the surface Γ. We show for parametric surfaces and for graphs how the gradient flow for this functional can be discretized by finite elements. For graphs we prove convergence of the algorithm.
|
G. Gilardi
(Pavia) |
On an Abstract Doubly Nonlinear Integrodifferential Equation |
W. Jäger
(Heidelberg) |
Effective Laws at Interfaces: Contributions of Multiscale Analysis |
B. Kawohl
(Köln) |
Geometry Beyond Limits |
S. Luckhaus 1
(Leipzig) |
Allards Rectifiability Theorem Revisited
Abstract: We try to give a weakest mean curvature bound which still allows to prove rectifiability for varifolds whose density is bounded below.
|
S. Luckhaus 2
(Leipzig) |
Some Reminiscences of the Good Old Times |
I. Müller
(TU Berlin) |
Inherent Frame Dependence of the Field Equations for a Gas |
D. Phillips
(Purdue) |
Nematic-Smectic Phase Transitions for Liquid Crystals |
J. F. Rodrigues
(Lissabon, Coimbra) |
On the Stability of a Two-Phases Free Boundary Problem |
C. Rohde
(Bielefeld) |
Navier-Stokes-Korteweg and Euler Equations for Liquid-Vapour Dynamics
Abstract: Various extensions of the Navier-Stokes equations for compressible one-phase fluid flow have been suggested to describe the dynamics of liquid-vapour mixtures with phase transitions. In the first part of the talk we consider a special class of phase-field models, give an overview on the available analytical results, and present numerical results. The associated sharp-interface model is given (at least in 1D) by the compressible Euler equations with non-convex and non-monotone pressure law. The second part deals with the numerical solution of this system which is even in 1D fundamentally different from the standard one-phase case. |
R. Schätzle
(Tübingen)
M. Röger
(Eindhoven) |
On a modified conjecture of De Giorgi
Abstract: We prove a conjecture of De Giorgi from 1991 in a modified form in three dimensions that the sum of the area and the Willmore functional is the Γ-limit of a diffuse Landau-Ginzburg approximation. |
M. Struwe
(ETH Zürich) |
Concentration Phenomena for Liouville's Equation in Dimension Four |
G. Weiss
(Tokio) |
Cross-Shaped and Degenerate Singularities in an Unstable Free Boundary Problem |