Speaker
Sebastian Hensel
Description
The most basic examples of curvature driven interface evolution are gradient flows of the perimeter. I will discuss in this talk, at the example of Mullins-Sekerka flow, how the gradient-flow structure can be used to provide robust solution theories, bypassing the usage of comparison principles typically not available for such problems. I will focus on existence theory based on an energy dissipation principle and (modulated) stability of steepest descent in energy landscape based on an entropy-entropy dissipation structure. These are joint works with varying coauthors, consisting of Julian Fischer, Tim Laux, Theresa M. Simon, and Kerrek Stinson.