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

doi:10.1016/S0252-9602(09)60085-0

Abstract

Abstract:

In this paper, we combine the method of constructing the compensating func-tion 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.

Key words: compensating function, energy method, Landau equation, optimal conver-gence rates

CLC Number:

35Q99

YANG Tong, YU Hong-Bei. OPTIMAL CONVERGENCE RATES OF LANDAU EQUATION WITH EXTERNAL FORCING IN THE WHOLE SPACE[J].Acta mathematica scientia,Series B, 2009, 29(4): 1035-1062.

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