Paris/Berkeley/Bonn/Zürich Analysis Seminar: Multiphase mean curvature flow: From numerical schemes to analysis

Seminar | May 9 | 9:10-10 a.m. | 238 Sutardja Dai Hall

 Tim Laux, UC Berkeley

 Department of Mathematics

Multiphase mean curvature flow has, due to its importance in materials science, received a lot of attention over the last decades. In this talk, I will show how the gradient-flow structure allows to prove convergence results for several numerically relevant schemes, including phase-field models and thresholding schemes in codimensions one and two. The methods combine basic geometric measure theory, the theory of gradient flows in metric spaces, and multiscale analysis.