APPROXIMATION OF THE BOLTZMANN-EQUATION BY DISCRETE VELOCITY MODELS

被引:11
|
作者
WAGNER, W
机构
[1] Weierstrass Institute for Applied Analysis and Stochastics, Berlin
关键词
BOLTZMANN EQUATION; DISCRETE VELOCITY MODELS; WEAK CONVERGENCE; RANDOM MASS FLOW;
D O I
10.1007/BF02180142
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Two convergence results related to the approximation of the Boltzmann equation by discrete velocity models are presented. First we construct a sequence of deterministic discrete velocity models and prove convergence (as the number of discrete velocities tends to infinity) of their solutions to the solution of a spatially homogeneous Boltzmann equation. Second we introduce a sequence of Markov jump processes (interpreted as random discrete velocity models) and prove convergence (as the intensity of jumps tends to infinity) of these processes to the solution of a deterministic discrete velocity model.
引用
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页码:1555 / 1570
页数:16
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