期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 188, 期 3-4, 页码 178-192出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2003.07.011
关键词
Boltzmann equation; H-theorem; Maxwellian states; macro-micro decomposition
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. (C) 2003 Elsevier B.V. All rights reserved.
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