Speaker
Mingyue Zhang
(TU Wien)
Description
We study the asymptotic limits of a Keller--Segel system with porous-medium-type nonlinear diffusion and nonlinear logistic sensitivity. We identify three distinguished limits and clarify their connections with the original system. Depending on the parameter regimes, the model converges to a porous medium equation when the chemotactic sensitivity is weak and the chemical diffusion is slow, a hyperbolic Keller--Segel system when the cell diffusion vanishes, and a surface-tension-driven free-boundary problem when the chemical diffusion is slow and the attraction is strong.
Author
Mingyue Zhang
(TU Wien)