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''.

引用

页码：639 / 659

页数：21

共 7 条

[1]

ARKERYD L, 1972, ARCH RATION MECH AN, V45, P1

[2]

ARSENYEV AA, 1987, MATH PHYS, V27, P51

[3] A RANDOM DISCRETE VELOCITY MODEL AND APPROXIMATION OF THE BOLTZMANN-EQUATION [J].