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Convergence rate for the Boltzmann and Landau equations with soft potentials

Published online by Cambridge University Press:  25 March 2009

Hongjun Yu
Hongjun Yu
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, People's Republic of China (yuhj2002@sina.com)
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Abstract

The Boltzmann and Landau equations are the classical models in statistical physics and plasma physics. We obtain the satisfactory existence of global classical solutions to the Boltzmann and Landau equations with soft potentials in the whole space. The convergence rate to Maxwellians for such solutions is also obtained.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 2 , April 2009 , pp. 393 - 416
Copyright
Copyright © Royal Society of Edinburgh 2009

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