138 citations · 401 across the 30 of their papers we have counts for
5 papers · 2 filters
Hypocoercivity and sub-exponential local equilibria
Emeric Bouin, Jean Dolbeault, Laurent Lafleche +1
Hypocoercivity methods are applied to linear kinetic equations without any space confinement, when local equilibria have a sub-exponential decay. By Nash type estimates, global rat…
Existence and stability of infinite time blow-up in the Keller-Segel system
Juan Davila, Manuel del Pino, Jean Dolbeault +2
Perhaps the most classical diffusion model for chemotaxis is the Keller-Segel system \begin{equation}\tag{} \label{ks0} \left\{ \begin{aligned} u_t =&\; Δu - \nabla \cdot(u \…
Fractional Hypocoercivity
Emeric Bouin, Jean Dolbeault, Laurent Lafleche
This paper is devoted to kinetic equations without confinement. We investigate the large time behaviour induced by collision operators with fat tailed local equilibria. Such operat…
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…