Asymptotic study for Stokes-Brinkman model with jump embedded transmission conditions

被引：8

作者：

Angot, Philippe ^{[1
]}

Carbou, Gilles ^{[2
]}

Peron, Victor ^{[2
,3
]}

机构：

[1] Aix Marseille Univ, LATP, Equipe Anal Appl Ctr Math & Informat CMI, CNRS,UMR 7353, Technopole Chateau Gombert,39 Rue F Joliot Curie, F-13453 Marseille 13, France

[2] Univ Pau & Pays Adour, Lab Math & Applicat Pau, CNRS, UMR 5142, Batiment IPRA,Ave Univ BP 1155, F-64013 Pau, France

[3] Univ Pau & Pays Adour, INRIA Bordeaux Sud Ouest, Mag 3D, Ave Unive BP 155, F-64013 Pau, France

来源：

ASYMPTOTIC ANALYSIS | 2016年 / 96卷 / 3-4期

关键词：

porous media; Stokes equation; Brinkman model; WKB expansion; POROUS THIN-LAYER; PENALIZATION METHOD; FLOW;

D O I：

10.3233/ASY-151336

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, one considers the coupling of a Brinkman model and Stokes equations with jump embedded transmission conditions. In this model, one assumes that the viscosity in the porous region is very small. Then we derive a Wentzel-Kramers-Brillouin (WKB) expansion in power series of the square root of this small parameter for the velocity and the pressure which are solution of the transmission problem. This WKB expansion is justified rigorously by proving uniform errors estimates.

引用

页码：223 / 249

页数：27

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