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

共 33 条

[11]

Cioranescu D., 1982, RES NOTES MATH, V60, P98

[12]

Cioranescu D., 1982, NONLINEAR PARTIAL DI, V60, P98

[13]

Conca C., 1989, Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria, V5, P435

[14]

Diaz J. I., 1999, EXTRACTA MATH, V14, P141

[15] ASYMPTOTIC ANALYSIS OF ACOUSTIC WAVES IN A POROUS MEDIUM: INITIAL LAYERS IN TIME [J].

Diaz-Alban, Jose ;

Masmoudi, Nader .

COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2012, 10 (01) :239-265

[16] The Two-Dimensional Euler Equations on Singular Domains [J].

Gerard-Varet, David ;

Lacave, Christophe .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2013, 209 (01) :131-170

[17]

GEYMONAT G, 1981, CR ACAD SCI I-MATH, V293, P179

[18]

Gustafsson B., 2006, Advances in Mathematical Fluid Mechanics

[19]

Hakobyan H, 2008, ANN ACAD SCI FENN-M, V33, P205

[20] Two dimensional incompressible ideal flow around a small obstacle [J].

Iftimie, D ;

Lopes, MC ;

Lopes, HJN .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2003, 28 (1-2) :349-379

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