Claudia Lückert

Georg Heinze (TU Chemnitz): Nonlocal Cross-Interaction Systems on Graphs: Nonquadratic Finslerian Structure and Nonlinear Mobilities

Wednesday, 06.07.2022 14:00 im Raum M5

Mathematik und Informatik

In this talk, the evolution of a system of two species with nonlinear mobility on a graph with nonlocal interactions is discussed. We provide a rigorous interpretation of the interaction system as a gradient flow in a Finslerian setting. This not only extends the recent results of Esposito et. al. (2021) to systems of interacting species, but also translates the theory of gradient flows with concave, nonlinear mobilities to this setting. Weakening the notion of Minkowski norm and nonlocal gradient, in the spirit of Agueh (2011), the geometric interpretations and the analysis are carried over to p-Wasserstein-like distances.

Angelegt am Wednesday, 18.05.2022 12:12 von Claudia Lückert
Geändert am Monday, 04.07.2022 11:01 von Claudia Lückert
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Kolloquium der angewandten Mathematik