Energy method for Boltzmann equation

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)178-192
Journal / PublicationPhysica D: Nonlinear Phenomena
Volume188
Issue number3-4
Publication statusPublished - 1 Feb 2004

Abstract

A basic, simple energy method for the Boltzmann equation is presented here. It is based on a new macro-micro decomposition of the Boltzmann equation as well as the H-theorem. This allows us to make use of the ideas from hyperbolic conservation laws and viscous conservation laws to yield the direct energy method. As an illustration, we apply the method for the study of the time-asymptotic, nonlinear stability of the global Maxwellian states. Previous energy method, starting with Grad and finishing with Ukai, involves the spectral analysis and regularity of collision operator through sophisticated weighted norms. © 2003 Elsevier B.V. All rights reserved.

Research Area(s)

  • Boltzmann equation, H-theorem, Macro-micro decomposition, Maxwellian states

Citation Format(s)

Energy method for Boltzmann equation. / Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien.

In: Physica D: Nonlinear Phenomena, Vol. 188, No. 3-4, 01.02.2004, p. 178-192.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review