From microscopic to macroscopic models: Asymptotic analysis of the Broadwell model toward the wave equation

被引：2

作者：

Bellouquid, A ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2002年 / 36卷 / 11-13期

关键词：

discrete Boltzmann equation; kinetic theory; asymptotic theory; wave equation;

D O I：

10.1016/S0895-7177(02)00267-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

this paper deals with the asymptotic analysis of the Broadwell model towards the wave equation. Appropriately scaled solutions of the Broadwell model are shown to have fluctuations that locally in time converge weakly to a limit governed by a solution of wave equations provided that the initial fluctuations are smooth. The weak limit becomes strong when the initial fluctuations converge to appropriate initial data. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1169 / 1181

页数：13

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