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The Boltzmann equation with frictional force
Vong,Seak Weng1,2
2006-03-01
Source PublicationJournal of Differential Equations
ISSN0022-0396
Volume222Issue:1Pages:95-136
Abstract

The Euler equations with frictional force have been extensively studied. Since the Boltzmann equation is closely related to the equations of gas dynamics, we study, in this paper, the Boltzmann equation with frictional force when the external force is proportional to the macroscopic velocity. It is shown that smooth initial perturbation of a given global Maxwellian leads to a unique global-in-time classical solution which approaches to the global Maxwellian time asymptotically. The analysis is based on the macro-micro decomposition for the Boltzmann equation introduced in Liu et al. [Energy method for the Boltzmann equation, Physica D 188 (3-4) (2004) 178-192] and Liu and Yu [Boltzmann equation: micro-macro-decompositions and positivity of shock profiles, Comm. Math. Phys. 246(1) (2004) 133-179] through energy estimates. © 2005 Elsevier Inc. All rights reserved.

KeywordBoltzmann Equation H-theorem Macro-micro-decomposition Maxwellian States
DOI10.1016/j.jde.2005.07.007
URLView the original
Language英語English
WOS IDWOS:000235561300004
Scopus ID2-s2.0-32044432089
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Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Department of Mathematics,City University of Hong Kong,83 Tat Chee Ave.,Hong Kong,Hong Kong
2.Department of Mathematics,University of Macau,Av. Padre Tomas Pereira,Macau,Macao
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Vong,Seak Weng. The Boltzmann equation with frictional force[J]. Journal of Differential Equations, 2006, 222(1), 95-136.
APA Vong,Seak Weng.(2006). The Boltzmann equation with frictional force. Journal of Differential Equations, 222(1), 95-136.
MLA Vong,Seak Weng."The Boltzmann equation with frictional force".Journal of Differential Equations 222.1(2006):95-136.
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