On the global existence for the Kac model with external force

被引：1
|
作者：
Bellouquid, A. [1 ]
机构：
[1] Univ Cadi Ayyad, Ecole Natl Sci Appl, Safi, Maroc, France
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 49卷 / 7-8期
关键词：
Kac's model; Boltzmann equation; Global existence; External force; Hamiltonian; Harmonic oscillator; BOLTZMANN-EQUATION;
D O I：
10.1016/j.mcm.2008.08.023
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The nonlinear Boltzmann Kac's model under the influence of a external force field arising from a potential phi = phi(x) is considered, and the global existence and uniqueness for the general solution to the initial value problem is proved. The result is proved for small initial data in the case potential bounded from below. As an application, some results concerning the harmonic oscillator are obtained. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：1531 / 1538
页数：8
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