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Regularity for the Vlasov-Poisson system in a convex domain

  • Hyung Ju Hwang (MPI MiS, Leipzig + Duke University)
A3 01 (Sophus-Lie room)

Abstract

We consider the initial-boundary value problem in a convex domain for the Vlasov-Poisson system. Boundary effects play an important role in such physical problems that are modeled by the Vlasov-Poisson system. We establish the global existence of classical solutions with regular initial boundary data under the absorbing boundary condition. We also prove that regular symmetric initial data lead to unique classical solutions for all time in the specular reflection case.

seminar
4/18/24 5/30/24

Oberseminar Analysis

Universität Leipzig Augusteum - A314

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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