Im Rahmen der Forschungsseminare des Instituts für Angewandte Analysis referiert Marie Borrmann (Universität Bonn) am 2.2.26 zum 

Thema: "A gradient flow that is none: Heat flow with Wentzell boundary conditions".

Termin: 02.02.2026

Uhrzeit: 16:15 Uhr

Raum: Helmholtzstrasse 18, Raum E.60

Abstract: 

We establish a representation of the heat flow with Wentzell boundary conditions on smooth domains as gradient descent dynamics for the entropy in a suitably extended Otto manifold of probability measures with additional boundary parts. Yet we show that for weak boundary diffusion the associated Fokker–Planck dynamics cannot be recovered from any entropy-driven metric JKO-Wasserstein scheme, at least if the underlying point metric satisfies certain natural regularity assumptions.

The talk is based on joint work with Léonard Monsaingeon, Michiel Renger and Max von Renesse.