Acta mathematica scientia, Series B >
OPTIMAL CONVERGENCE RATES OF LANDAU EQUATION WITH EXTERNAL FORCING IN THE WHOLE SPACE
Received date: 2009-01-30
Online 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
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.
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 . DOI: 10.1016/S0252-9602(09)60085-0
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