THE DISCRETE BOLTZMANN-EQUATION WITH MULTIPLE COLLISIONS - GLOBAL EXISTENCE AND STABILITY FOR THE INITIAL-VALUE PROBLEM

被引:14
|
作者
BELLOMO, N [1 ]
KAWASHIMA, S [1 ]
机构
[1] KYUSHU UNIV, FAC SCI, DEPT APPL SCI, FUKUOKA 812, JAPAN
关键词
D O I
10.1063/1.528866
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper deals with the analysis of the initial value problem in all space ℝd, d≥2, for the discrete Boltzmann equation with multiple collisions. After a preliminary analysis of the mathematical modeling of the evolution equations, global existence and asymptotic behavior are proven using suitable stability criteria. Some applications verify the analysis for specific models. © 1989 American Institute of Physics.
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页码:245 / 253
页数:9
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