STOCHASTIC-SYSTEMS OF PARTICLES WITH WEIGHTS AND APPROXIMATION OF THE BOLTZMANN-EQUATION - THE MARKOV PROCESS IN THE SPATIALLY HOMOGENEOUS CASE

被引：6
|
作者：
WAGNER, W [1 ]
机构：
[1] INST APPL ANAL & STOCHAST,D-10117 BERLIN,GERMANY
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 1994年 / 12卷 / 05期
关键词：
D O I：
10.1080/07362999408809377
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of stochastic systems of particles with variable weights is studied. The corresponding empirical measures are shown to converge to the solution of the spatially homogeneous Boltzmann equation. In a certain sense, this class of stochastic processes generalizes the ''Kac master process''.
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页码：639 / 659
页数：21
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