Kalender Department Mathematik
Tue, 04.12.2018, 11:00 |
Cross-diffusion in Population dynamics: triangular structure Referent: Dr. Ariane Trescases, Institut de Mathematiques de Toulouse Veranstalter: Martin Burger Raum: Hörsaal H12 In Population dynamics, reaction-cross diffusion systems model the evolution of populations of multiple species with a repulsive effect between individuals. For these strongly coupled nonlinear systems, a question as basic as the existence of solutions appears to be extremely complex. In this talk, we consider two-species cases where cross diffusion terms appear only in one of the two equations (triangular case). We will address questions of existence of solutions, an approximation through a microscopic model, and an application to chemotaxis. |
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