From microscopic to macroscopic description for generalized kinetic models

被引：27
|
作者：
Lachowicz, M [1 ]
机构：
[1] Warsaw Univ, Fac Math Informat & Mech, Inst Appl Math & Mech, PL-02097 Warsaw, Poland
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2002年 / 12卷 / 07期
关键词：
integro-differential equations; population dynamics; diffusive limit; hydrodynamic limit;
D O I：
10.1142/S0218202502001994
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a review of some results and research perspectives for the general class of bilinear systems of Boltzmann-like integro-differential equations (generalized kinetic models) describing the dynamics of individuals undergoing kinetic (stochastic) interactions is presented. Some macroscopic limits (the diffusive limit and the hydrodynamic limit) are discussed.
引用
收藏
页码：985 / 1005
页数：21
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