Optimal convergence rates of Landau equation with external forcing in the whole space

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)1035-1062
Journal / PublicationActa Mathematica Scientia
Volume29
Issue number4
Publication statusPublished - Jul 2009

Abstract

In this paper, we combine the method of constructing the compensating function 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. © 2009 Wuhan Institute of Physics and Mathematics.

Research Area(s)

  • 35B40, 35Q99, compensating function, energy method, Landau equation, optimal convergence rates