A STOCHASTIC-SYSTEM OF PARTICLES MODELING THE EULER EQUATIONS

被引：33
|
作者：
LACHOWICZ, M
PULVIRENTI, M
机构：
[1] Dipartimento di Matematica Pura ed Applicata, Università dell'Aquila, L'Aquila
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1990年 / 109卷 / 01期
关键词：
D O I：
10.1007/BF00377981
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a system of N spheres interacting through elastic collisions at a stochastic distance. In the limit N → ∞, for a suitable rescaling of the interaction parameters, we prove that the one-particle distribution function converges to a local Maxwellian, whose gross density, velocity, and temperature satisfy the Euler equation. © 1990 Springer-Verlag.
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页码：81 / 93
页数：13
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