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math.AP2019★ 3 cited
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…
math.AP2019★ 3 cited
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…
math.AP2019
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…