Articles

OPTIMAL CONVERGENCE RATE OF THE LANDAU EQUATION WITH FRICTIONAL FORCE

  • LIU Shuang-Qian ,
  • LIU Hong-Xia
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  • Department of Mathematics, Jinan University, Guangzhou 510632, China

Received date: 2011-05-29

  Revised date: 2011-08-14

  Online published: 2012-09-20

Supported by

The research of the first author is supported by the National Natural Science Foundation of China (11101188). The research of the second author is supported by the National Natural Science Foundation of China (10871082). The research is also supported by the Fundamental
Research Funds for the Central Universities.

Abstract

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

Cite this article

LIU Shuang-Qian , LIU Hong-Xia . OPTIMAL CONVERGENCE RATE OF THE LANDAU EQUATION WITH FRICTIONAL FORCE[J]. Acta mathematica scientia, Series B, 2012 , 32(5) : 1781 -1804 . DOI: 10.1016/S0252-9602(12)60140-4

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