On the interface boundary conditions between two interacting incompressible viscous fluid flows

被引：3

作者：

Brillard, Alain ^{[1
]}

El Jarroudi, Mustapha ^{[2
]}

机构：

[1] Univ Haute Alsace, Lab Gest Risques & Environm, F-68093 Mulhouse, France

[2] Univ Abdelmalek Essaadi, FST Tanger, Dept Math, Tanger, Morocco

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 255卷 / 05期

关键词：

Navier-Stokes system; Thin non-Newtonian boundary layers; Gamma-convergence; Interfacial boundary conditions; SEA;

D O I：

10.1016/j.jde.2013.04.038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two incompressible viscous fluid flows interacting through thin non-Newtonian boundary layers of higher Reynolds' number. We study the asymptotic behaviour of the problem, with respect to the vanishing thickness of the layers, using Gamma-convergence methods. We derive general interfacial boundary conditions between the two fluid flows. These boundary conditions are specified for some particular cases including periodic or fractal structures of layers. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：881 / 904

页数：24

共 25 条

[1] [Anonymous], ATMOSPHERE OCEAN INT
[2] [Anonymous], 1969, QUELQUES METHODES RE
[3] Antontsev S.N., 2006, Ann. Univ. Ferrara. Sez., VVII, P19, DOI [DOI 10.1007/S11565-006-0002-9, 10.1007/s11565-006-0002-9]
[4] SEA STRAITS - DYNAMICAL MODEL
ASSAF, G
HECHT, A
[J]. DEEP-SEA RESEARCH, 1974, 21 (11): : 947 - 958
[5] Bard R.B., 1987, DYNAMICS POLYM LIQUI
[6] BRYDEN HL, 1984, OCEANOL ACTA, V7, P289
[7] BUTTAZZO G, 1989, PARTIAL DIFFERENTIAL, P193
[8] Interface boundary value problem for the Navier-Stokes equations in thin two-layer domains
Chueshov, ID
Raugel, G
Rekalo, AM
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 208 (02) : 449 - 493
[9] DAL MASO G., 1993, Progress in Nonlinear Differential Equations and their Applications, V8
[10] WIENER CRITERIA AND ENERGY DECAY FOR RELAXED DIRICHLET PROBLEMS
DALMASO, G
MOSCO, U
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1986, 95 (04) : 345 - 387

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