Tue, 16 Jun 2026

12:00 - 13:00
C5

Global existence for a cross diffusion system with different mobilities

Charles Elbar
(Université Claude Bernard Lyon 1)
Abstract

We consider a cross diffusion system of two populations, often called the Busenberg-Travis system. The two species are transported by the same pressure gradient with Darcy’s law, modeling overcrowding effect (populations tend to move away from regions of high pressure). However, their mobility is different: the first species moves with mobility 1, whereas the second moves with mobility \nu. The difficulty to prove existence is to prove strong compactness of each densities, which we achieve with a variant of the div-curl lemma applied to evolution PDEs.

Wed, 24 Jun 2026

11:00 - 13:00
L4

TBA

Fengyu Wang
(University of Swansea)
Abstract

TBA

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