CRM: Centro De Giorgi

This is the old version of the CRM site. Please use the new site on the page crmdegiorgi.sns.it

logo sns
Curves and Networks in Geometric Analysis

Convergence of phase-field models and thresholding schemes to multi-phase mean-curvature flow

speaker: Tim Laux (Max-Planck-Institut für Mathematik)

abstract: The thresholding scheme -- a time discretization for mean curvature flow -- was introduced by Merriman, Bence and Osher. In this talk I'll present new convergence results for modern variants of the scheme, in particular in the multi-phase case with arbitrary surface tensions. The main result establishes convergence to a weak formulation of (multi-phase) mean curvature flow in the BV-framework of sets of finite perimeter. The methods are then extended to incorporate external forces and a volume constraint. Furthermore, I will present a similar result for the vector-valued Allen-Cahn Equation. This talk encompasses joint work with Felix Otto, Thilo Simon, and Drew Swartz (Booz Allen Hamilton).


timetable:
Wed 28 Jun, 16:20 - 17:10, Aula Dini
<< Go back