From microscopic to macroscopic descriptions of complex systems

被引：4

作者：

Lachowicz, M ^{[1
]}

机构：

[1] Univ Warsaw, Fac Math, Inst Appl Math & Mech, PL-02097 Warsaw, Poland

来源：

COMPTES RENDUS MECANIQUE | 2003年 / 331卷 / 11期

关键词：

continuum mechanics; complex systems; ODE; reaction-diffusion equations; stochastic semigroups;

D O I：

10.1016/j.crme.2003.09.003

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Complex systems that can be described at the macroscopic level in terms of bilinear ODEs or bilinear reaction-diffusion equations are considered. The corresponding microscopic description at the level of stochastically interacting entities is defined. The mathematical relationships between these two descriptions are formulated. The solutions of bilinear macroscopic equations are approximated by stochastic (linear) semigroups and the order of approximation is given. (C) 2003 Academie des sciences. Published by Editions scientifiques et medicales Elsevier SAS. All rights reserved.

引用

页码：733 / 738

页数：6

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