Curves and Networks in Geometric Analysis
timetable:
Wed 28 Jun, 16:20 - 17:10, Aula Dini
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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
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