Prof. Dr. José Antonio Carrillo, Imperial College London, Vortrag: Nonlinear aggregation-diffusions in the diffusion-dominated and
Thursday, 17.11.2016 16:30 im Raum M5
I will discuss several regimes that appear in aggregation diffusion problems
with homogeneous kernels. I will first discuss recent results concerning the
radial symmetry and long time asymptotics in the diffusion dominated case.
Then I will concentrate in the fair competition case distinguishing among
porous medium like cases and fast diffusion like ones. I will discuss the
main qualitative properties in terms of stationary states and minimizers of
the free energies. In particular, all the porous medium cases are critical
while the fast diffusion are not. This talk is based on works in
collaboration with S. Hittmeir, B. Volzone, and Y. Yao;
and with V. Calvez and F. Hoffmann.