3 citations · 10 across the 5 of their papers we have counts for
5 papers
Large Time Asymptotic Behaviors of Two Types of Fast Diffusion Equations
Chuqi Cao, Xingyu Li
We consider two types of non linear fast diffusion equations in R^N:(1) External drift type equation with general external potential. It is a natural extension of the harmonic pote…
Asymptotic behavior of Nernst-Planck equation
Xingyu Li
This paper is devoted to the Nernst-Planck system of equations with an external potential of confinement. The main result is concerned with the asymptotic behaviour of the solution…
L2-Hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system
Lanoir Addala, Jean Dolbeault, Xingyu Li +1
This paper is devoted to the linearized Vlasov-Poisson-Fokker-Planck system in presence of an external potential of confinement. We investigate the large time behaviour of the solu…
Generalized logarithmic Hardy-Littlewood-Sobolev inequality
Jean Dolbeault, Xingyu Li
This paper is devoted to logarithmic Hardy-Littlewood-Sobolev inequalities in the two-dimensional Euclidean space, in presence of an external potential with logarithmic growth. The…
Phi-entropies for Fokker-Planck and kinetic Fokker-Planck equations
Jean Dolbeault, Xingyu Li
This paper is devoted to -entropies applied to Fokker-Planck and kinetic Fokker-Planck equations in the whole space, with confinement. The so-called -entropies are Lyapunov f…