Speaker
Maria G. Westdickenberg
(RWTH Aachen University)
Description
Together with Felix Otto, Richard Schubert, and other collaborators, we have developed two different energy-based methods to capture convergence rates and metastability of gradient flows. We will present the methods and their application to the two model problems that drove their development: the 1-d Cahn–Hilliard equation and the Mullins–Sekerka evolution. Both methods can be viewed as quantifying “how nonconvex“ or “how nonlinear“ a problem can be while still retaining the optimal convergence rates, i.e., the rates for the convex or linear problem. Our focus is on fairly large (ill-prepared) initial data.
Primary authors
Felix Otto
(Max Planck Institute for Mathematics in the Sciences)
Maria G. Westdickenberg
(RWTH Aachen University)
Richard Schubert
