Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (5): 1781-1804.doi: 10.1016/S0252-9602(12)60140-4

• Articles • Previous Articles     Next Articles

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.

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

CLC Number: 

  • 35Q99
Trendmd