数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (5): 1781-1804.doi: 10.1016/S0252-9602(12)60140-4

• 论文 • 上一篇    下一篇

OPTIMAL CONVERGENCE RATE OF THE LANDAU EQUATION WITH FRICTIONAL FORCE

刘双乾|刘红霞   

  1. Department of Mathematics, Jinan University, Guangzhou 510632, China
  • 收稿日期:2011-05-29 修回日期:2011-08-14 出版日期:2012-09-20 发布日期:2012-09-20
  • 基金资助:

    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.

OPTIMAL CONVERGENCE RATE OF THE LANDAU EQUATION WITH FRICTIONAL FORCE

 LIU Shuang-Qian, LIU Hong-Xia   

  1. Department of Mathematics, Jinan University, Guangzhou 510632, China
  • Received:2011-05-29 Revised:2011-08-14 Online:2012-09-20 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.

摘要:

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.

关键词: Landau equation, optimal convergence rate, Fourier analysis, frictional force

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.

Key words: Landau equation, optimal convergence rate, Fourier analysis, frictional force

中图分类号: 

  • 35Q99