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math.AP2021★ 7 cited
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…
math.AP2021
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…