On global existence of classical solutions for the Vlasov-Poisson system in convex bounded domains

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

doi:10.3934/dcds.2013.33.723

Article Contents

2013, Volume 33, Issue 2: 723-737. Doi: 10.3934/dcds.2013.33.723

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On global existence of classical solutions for the Vlasov-Poisson system in convex bounded domains

1.
Department of Mathematics, Pohang University of Science and Technology, Pohang, Gyeongbuk
2.
Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784
3.
Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115 Bonn

Received: June 30, 2011

Revised: February 29, 2012

Published: January 2013

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Abstract

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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Mathematics Subject Classification: Primary: 82D10; Secondary: 35Q83, 76X05.

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