9 citations · 17 across the 6 of their papers we have counts for
8 papers
On a Vlasov-Fokker-Planck equation for stored electron beams
Ludovic Cesbron, Maxime Herda
In this paper we study a self-consistent Vlasov-Fokker-Planck equations which describes the longitudinal dynamics of an electron bunch in the storage ring of a synchrotron particle…
Global well-posedness of Vlasov-Poisson-type systems in bounded domains
Ludovic Cesbron, Mikaela Iacobelli
In this paper we prove global existence of classical solutions to the Vlasov-Poisson and the ionic Vlasov-Poisson models in bounded domains. On the boundary, we consider the specul…
Fractional Diffusion limit of a kinetic equation with Diffusive boundary conditions in a bounded interval
Ludovic Cesbron, Antoine Mellet, Marjolaine Puel
We investigate the fractional diffusion approximation of a kinetic equation set in a bounded interval with diffusive reflection conditions at the boundary. In an appropriate singul…
Fractional diffusion limit of a linear Boltzmann model with reflective boundaries in a half-space
Ludovic Cesbron
We investigate the fractional diffusion limit of a Linear Boltzmann equation with heavy-tailed velocity equilibrium in a half-space with Maxwell boundary conditions. We derive a ne…
Fractional Diffusion limit of a kinetic equation with Diffusive boundary conditions in the upper-half space
Ludovic Cesbron, Antoine Mellet, Marjolaine Puel
We investigate the fractional diffusion approximation of a kinetic equation in the upper-half plane with diffusive reflection conditions at the boundary. In an appropriate singular…
Anomalous diffusion limit of kinetic equations in spatially bounded domains
Ludovic Cesbron
This paper is devoted to the anomalous diffusion limit of kinetic equations with a fractional Fokker-Planck collision operator in a spatially bounded domain. We consider two bounda…
Fractional diffusion limit for a fractional Vlasov-Fokker-Planck equation
Pedro Aceves-Sanchez, Ludovic Cesbron
This paper is devoted to the rigorous derivation of the macroscopic limit of a Vlasov-Fokker-Planck equation in which the Laplacian is replaced by a fractional Laplacian. The evolu…
Diffusion limit for Vlasov-Fokker-Planck Equation in bounded domains
Ludovic Cesbron, Harsha Hutridurga
We derive a diffusion approximation for the kinetic Vlasov-Fokker-Planck equation in bounded spatial domains with specular reflection type boundary conditions. The method of proof…