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

作　　者：杨彤 喻洪俊 

机构地区：[1]Department of Mathematics, City University of Hong Kong [2]Department of Mathematics, Shanghai Jiao Tong University [3]School of Mathematical Sciences, South China Normal University

出　　处：《Acta Mathematica Scientia》2009年第4期1035-1062,共28页数学物理学报（B辑英文版）

基　　金：supported by Strategic Research Grant of City University of Hong Kong, 7002129;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);partially by FANEDD

摘　　要：In this paper, we combine the method of constructing the compensating function 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.In this paper, we combine the method of constructing the compensating function 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 convergence rates 

分 类 号：O175[理学—数学]