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

Yemin Chen

doi:10.3934/dcds.2008.20.889

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

Yemin Chen^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	889-910
Number of pages	22
Journal	Discrete and Continuous Dynamical Systems
Volume	20
Issue number	4
DOIs	https://doi.org/10.3934/dcds.2008.20.889
Publication status	Published - Apr 2008

Keywords

Averaging lemmas
Smoothness
Vlasov-Maxwell-Landau system

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abstract = "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 = "Averaging lemmas, Smoothness, Vlasov-Maxwell-Landau system",

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AB - 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.

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

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Keywords

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