COUPLED STOKES-DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE BOUNDARY CONDITION

被引：6

作者：

Cao, Yanzhao ^{[2
]}

Gunzburger, Max ^{[3
]}

Hua, Fei ^{[1
,4
]}

Wang, Xiaoming ^{[1
]}

机构：

[1] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA

[2] Auburn Univ, Dept Math & Stat, Auburn, AL 36830 USA

[3] Florida State Univ, Dept Comp Sci, Tallahassee, FL 32306 USA

[4] Florida State Univ, Sch Computat Sci, Tallahassee, FL 32306 USA

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2010年 / 8卷 / 01期

基金：

美国国家科学基金会;

关键词：

Stokes and Darcy system; fluid and porous media flow; Beavers-Joseph interface boundary condition; well-posedness; time discretization; finite element approximation; FLUID-FLOW;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the well-posedness of a coupled Stokes-Darcy model with Beavers-Joseph interface boundary conditions. In the steady-state case, the well-posedness is established under the assumption of a small coefficient in the Beavers-Joseph interface boundary condition. In the time-dependent case, the well-posedness is established via an appropriate time discretization of the problem and a novel scaling of the system under an isotropic media assumption. Such coupled systems are crucial to the study of subsurface flow problems, in particular, flows in karst aquifers.

引用

页码：1 / 25

页数：25

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