[AN] Havva Yoldas: On some existence results for degenerate cross-diffusion systems

24 October 2023 16:00 till 17:00 - Location: EWI-Lecture hall G | Add to my calendar

Abstract:
We look at a cross-diffusion system consisting of two Fokker-Planck equations where the gradient of the density for each species acts as a potential for the other one. It is a degenerate system in the sense that it loses its parabolic behavior on some part of the domain. I will discuss some existence results based on boundednes by entropy methods and variational approaches. The talk is based on two joint works: A. Barbaro, N. Rodriguez, H.Y. & N. Zamponi (CMS, 19(8): 2139-2175, 2021) and R. Ducasse, F. Santambrogio & H.Y. (Calc. Var. PDEs, 62(1):29, 2023).