OPTIMAL CONVERGENCE RATE OF THE LANDAU EQUATION WITH FRICTIONAL FORCE  

OPTIMAL CONVERGENCE RATE OF THE LANDAU EQUATION WITH FRICTIONAL FORCE

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作  者:刘双乾 刘红霞 

机构地区:[1]Department of Mathematics,Jinan University

出  处:《Acta Mathematica Scientia》2012年第5期1781-1804,共24页数学物理学报(B辑英文版)

基  金:the first author is supported by the National Natural Science Foundation of China (11101188);the second author is supported by the National Natural Science Foundation of China (10871082);supported by the Fundamental Research Funds for the Central Universities

摘  要:The Cauchy problem of the Landau equation with frictional force is investigated. Based on Fourier analysis and nonlinear energy estimates, the optimal convergence rate to the steady state is obtained under some conditions on initial data.The Cauchy problem of the Landau equation with frictional force is investigated. Based on Fourier analysis and nonlinear energy estimates, the optimal convergence rate to the steady state is obtained under some conditions on initial data.

关 键 词:Landau equation optimal convergence rate Fourier analysis frictional force 

分 类 号:O175[理学—数学]

 

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