Wednesday, April 7, 2021 — 3:30 pm — online talk

An introduction to the study of a spatially inhomogeneous nonlinear Fokker-Planck equation

Abstract: We investigate the Cauchy problem and the diffusion asymptotics for a spatially inhomogeneous kinetic model associated to a nonlinear Fokker-Planck operator. Its solution describes the density evolution of interacting particles whose mobility is hampered by their aggregation. When the initial data lies below a Maxwellian, we derive the global well-posedness with instantaneous smoothness. Moreover, the scaled equation leads to the fast diffusion flow under the low field limit.