Applied Math And Analysis Seminar
Thursday, January 12, 2017, 12:00pm, 205 Physics
Jose Antonio Carrillo (Imperial College London)
Nonlinear aggregation-diffusions in the diffusion-dominated and fair-competitions regimes
Abstract:- 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.
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