Residential College | false |
Status | 已發表Published |
The Boltzmann equation with frictional force | |
Vong,Seak Weng1,2 | |
2006-03-01 | |
Source Publication | Journal of Differential Equations |
ISSN | 0022-0396 |
Volume | 222Issue: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. |
Keyword | Boltzmann Equation H-theorem Macro-micro-decomposition Maxwellian States |
DOI | 10.1016/j.jde.2005.07.007 |
URL | View the original |
Language | 英語English |
WOS ID | WOS:000235561300004 |
Scopus ID | 2-s2.0-32044432089 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Affiliation | 1.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 Affilication | University 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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