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HN stability of the Vlasov–Poisson–Boltzmann system near Maxwellians

Published online by Cambridge University Press:  26 March 2007

Hongjun Yu
Hongjun Yu*
Affiliation:
School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, People's Republic of China (yuhj2002@sina.com)
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Abstract

We study the HN stability of the Vlasov–Poisson Boltzmann system near Maxwellians. Under a suitable smallness assumption on initial data, we show that the global classical solutions constructed by Guo are HN stable. For a stability estimate, we employ the energy methods of Guo.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 137 , Issue 2 , 2007 , pp. 431 - 446
Copyright
Copyright © Royal Society of Edinburgh 2007

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