Permeability through a perforated domain for the incompressible 2D Euler equations

被引：10

作者：

Bonnaillie-Noel, V. ^{[1
]}

Lacave, C. ^{[2
]}

Masmoudi, N. ^{[3
]}

机构：

[1] Univ Rennes 1, ENS Rennes, CNRS, UEB,IRMAR UMR6625, F-35170 Rennes, France

[2] Univ Paris 07, Inst Math Jussieu Paris Rive Gauche, UMR CNRS 7586, Batiment Sophie Germain,Case 7012, F-75205 Paris 13, France

[3] Courant Inst, New York, NY 10012 USA

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2015年 / 32卷 / 01期

基金：

美国国家科学基金会;

关键词：

NAVIER-STOKES EQUATIONS; IDEAL FLOW; HOMOGENIZATION;

D O I：

10.1016/j.anihpc.2013.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the influence of a perforated domain on the 2D Euler equations. Small inclusions of size epsilon are uniformly distributed on the unit segment or a rectangle, and the fluid fills the exterior. These inclusions are at least separated by a distance epsilon(alpha) and we prove that for alpha small enough (namely, less than 2 in the case of the segment, and less than 1 in the case of the square), the limit behavior of the ideal fluid does not feel the effect of the perforated domain at leading order when epsilon -> 0. (C) 2013 Elsevier Masson SAS. All rights reserved.

引用

页码：159 / 182

页数：24

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