OPTIMAL CONVERGENCE RATES OF LANDAU EQUATION WITH EXTERNAL FORCING IN THE WHOLE SPACE

doi:10.1016/S0252-9602(09)60085-0

数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (4): 1035-1062.doi: 10.1016/S0252-9602(09)60085-0

OPTIMAL CONVERGENCE RATES OF LANDAU EQUATION WITH EXTERNAL FORCING IN THE WHOLE SPACE

杨彤,喻洪波

Department of Mathematics, City University of Hong Kong, Hong Kong, China；Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China；School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

收稿日期:2009-01-30 出版日期:2009-07-20 发布日期:2009-07-20
基金资助:
The research of the first author was supported by Strategic Research Grant of City University of Hong Kong, 7002129, and the Changjiang Scholar Program of Chinese Educational Ministry in Shanghai Jiao Tong University. The research of the second author was supported partially by NSFC (10601018) and partially by FANEDD

OPTIMAL CONVERGENCE RATES OF LANDAU EQUATION WITH EXTERNAL FORCING IN THE WHOLE SPACE

YANG Tong, YU Hong-Bei

Department of Mathematics, City University of Hong Kong, Hong Kong, China；Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China；School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received:2009-01-30 Online:2009-07-20 Published:2009-07-20
Supported by:
The research of the first author was supported by Strategic Research Grant of City University of Hong Kong, 7002129, and the Changjiang Scholar Program of Chinese Educational Ministry in Shanghai Jiao Tong University. The research of the second author was supported partially by NSFC (10601018) and partially by FANEDD

摘要/Abstract

摘要：

In this paper, we combine the method of constructing the compensating func-tion introduced by Kawashima and the standard energy method for the study on the Landau equation with external forcing. Both the global existence of solutions near the time asymptotic states which are local Maxwellians and the optimal convergence rates are
obtained. The method used here has its own advantage for this kind of studies because it does not involve the spectrum analysis of the corresponding linearized operator.

关键词: compensating function, energy method, Landau equation, optimal conver-gence rates

Abstract:

Key words: compensating function, energy method, Landau equation, optimal conver-gence rates

中图分类号:

35Q99

杨彤, 喻洪波. OPTIMAL CONVERGENCE RATES OF LANDAU EQUATION WITH EXTERNAL FORCING IN THE WHOLE SPACE[J]. 数学物理学报(英文版), 2009, 29(4): 1035-1062.

YANG Tong, YU Hong-Bei. OPTIMAL CONVERGENCE RATES OF LANDAU EQUATION WITH EXTERNAL FORCING IN THE WHOLE SPACE[J]. Acta mathematica scientia,Series B, 2009, 29(4): 1035-1062.

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OPTIMAL CONVERGENCE RATES OF LANDAU EQUATION WITH EXTERNAL FORCING IN THE WHOLE SPACE

OPTIMAL CONVERGENCE RATES OF LANDAU EQUATION WITH EXTERNAL FORCING IN THE WHOLE SPACE

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