Incompressible Navier-Stokes limit for the Enskog equation

被引：3

作者：

Jagodzinski, S ^{[1
]}

Lachowicz, M

机构：

[1] Lodz Tech Univ, Dept Math, PL-90924 Lodz, Poland

[2] Warsaw Univ, Dept Math, Warsaw, Poland

来源：

APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 07期

关键词：

kinetic equations; Navier-Stokes system; singularly perturbed problem; hydrodynamic limit;

D O I：

10.1016/S0893-9659(00)00084-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The macroscopic limit of the Enskog kinetic equation with three small parameters: the Knudsen number, the Mach number, and the scale of the diameter of the particles, is considered in R-3. For some relations between the small parameters, the Enskog equation results in the Navier-Stokes equation for incompressible fluids completed by the Boussinesq relation and the temperature fluctuations equation. The global existence of classical solutions of the Enskog equation and convergence towards the macroscopic system are proved for small initial data (but independent of the small parameters). (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：107 / 111

页数：5

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