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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

Yemin Chen 1,

1. 

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

Received  April 2007 Revised  November 2007 Published  January 2008

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 and Continuous Dynamical Systems, 2008, 20 (4) : 889-910. doi: 10.3934/dcds.2008.20.889
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