Smoothness of classical solutions to the Vlasov-Maxwell-Landau system near Maxwellians

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October 2008, 20(4): 889-910. doi: 10.3934/dcds.2008.20.889

Smoothness of classical solutions to the Vlasov-Maxwell-Landau system near Maxwellians

1.	Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China

Received April 2007 Revised November 2007 Published January 2008

Abstract
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In this paper we prove that under the assumption that the electromagnetic field is smooth initially, even if the distribution function is not smooth initially, the classical solutions (both the distribution function and the electromagnetic field) to the Vlasov-Maxwell-Landau system become immediately smooth with respect to all variables.

Keywords: Smoothness, averaging lemmas., Vlasov-Maxwell-Landau system.

Mathematics Subject Classification: Primary: 35B65; Secondary: 35Q60, 82D1.

Citation: Yemin Chen. Smoothness of classical solutions to the Vlasov-Maxwell-Landau system near Maxwellians. Discrete & Continuous Dynamical Systems - A, 2008, 20 (4) : 889-910. doi: 10.3934/dcds.2008.20.889

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