A DERIVATION OF THE BROADWELL EQUATION

被引：19

作者：

CAPRINO, S ^{[1
]}

DEMASI, A ^{[1
]}

PRESUTTI, E ^{[1
]}

PULVIRENTI, M ^{[1
]}

机构：

[1] UNIV ROMA TOR VERGATA,DIPARTIMENTO MATEMAT,I-00133 ROME,ITALY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 135卷 / 03期

关键词：

D O I：

10.1007/BF02104115

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a stochastic system of particles in a two dimensional lattice and prove that, under a suitable limit (i.e. N --> infinity, 3 --> O, N-epsilon-2 --> const, where N is the number of particles and epsilon is the mesh of the lattice) the one-particle distribution function converges to a solution of the two-dimensional Broadwell equation for all times for which the solution (of this equation) exists. Propagation of chaos is also proven.

引用

页码：443 / 465

页数：23

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