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

页码：985 / 1005

页数：21

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