EINSTEIN-LIKE APPROXIMATION FOR HOMOGENIZATION WITH SMALL CONCENTRATION .2. NAVIER-STOKES EQUATION

被引：19

作者：

LEVY, T

SANCHEZPALENCIA, E

机构：

[1] CNRS,LA 229,F-75005 PARIS,FRANCE

[2] UNIV PARIS 4,MECAN THEOR LAB,LA 229,F-75230 PARIS,FRANCE

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1985年 / 9卷 / 11期

关键词：

MATHEMATICAL TECHNIQUES - Differential Equations - SUSPENSIONS;

D O I：

10.1016/0362-546X(85)90034-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors obtain small concentration approximations of the fluid flow equations for a suspension of either fluid drops or solid particles in a viscous fluid. They start from the equations obtained by the homogenization method for the motion of a viscous fluid containing a periodic (or locally periodic) distribution of solid particles. The homogenization of Stokes equation can be extended to the case of a not slow motion of a viscous fluid containing viscous drops of another fluid. They give the asymptotic behavior of these schemes (with particles or drops) when the concentration of inclusions is small.

引用

页码：1255 / 1268

页数：14

共 14 条

[1]

BATCHELOR GK, 1967, FLUID DYNAMICS

[2]

Bensoussan A., 1978, ASYMPTOTIC ANAL PERI

[3] DYNAMIC THEORY OF SUSPENSIONS WITH BROWNIAN EFFECTS [J].