Fu-Cai Li

Solutions to the Fokker-Planck equation with time-dependent force and source in $\mathbb R^3$

This paper concerns the global solutions of the kinetic Fokker-Planck (KFP) equation in $\mathbb R^3$ driven by a given external force $E=E(t,x)$ and an inhomogeneous source term $S_0=S_0(t,x,v)$. First, when $E$ and $S_0$ are sufficiently small in a suitable hybrid homogeneous Besov-Sobolev framework without any time-...

Global well-posedness and large time behavior of classical solutions to a compressible fluid-particle coupled model with energy exchanges and density-dependent friction force