Cross-diffusion and entropy in population dynamics

Abstract: In Population dynamics, reaction-cross diffusion systems model the evolution of the populations of competing species with a segregation effect between individuals. For these strongly coupled, often nonlinear systems, a question as basic as the existence of solutions appears to be extremely complex. We introduce an approach based on duality and entropy methods. We prove the existence of weak solutions in a general setting of reaction-cross diffusion systems, as well as some qualitative properties of the solutions. This is a joint work with L. Desvillettes, Th. Lepoutre and A. Moussa.

Date: Mar 11, 2019 at 17:00:00 h
Venue: Sala John Von Neumann del CMM, séptimo piso CMM, Torre Norte de Beauchef 851.
Speaker: Ariane Trescases
Affiliation: Institut de Mathématiques de Toulouse, Francia
Coordinator: Matteo Rizzi
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Posted on Mar 6, 2019 in CAPDE, Seminars