On Global Existence of Classical Solutions for the Vlasov-Poisson System in Convex Bounded Domains

Hyung Ju Hwang; Jaewoo Jung; Juan J. L. Velazquez

arxiv: 1101.5472 · v1 · pith:FH4FLEFUnew · submitted 2011-01-28 · 🧮 math.AP

On Global Existence of Classical Solutions for the Vlasov-Poisson System in Convex Bounded Domains

Hyung Ju Hwang , Jaewoo Jung , Juan J. L. Velazquez This is my paper

classification 🧮 math.AP

keywords boundaryboundedconditionsconvexexistenceglobalsolutionssystem

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We prove global existence of strong solutions for the Vlasov-Poisson system in a convex bounded domain in the plasma physics case assuming homogeneous Dirichlet boundary conditions for the electric potential and the specular reflection boundary conditions for the distribution density.

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On Global Existence of Classical Solutions for the Vlasov-Poisson System in Convex Bounded Domains

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