Generalized Darcy-Oseen resolvent problem

被引：0

作者：

Medkova, Dagmar ^{[1
]}

Ptashnyk, Mariya ^{[2
]}

Varnhorn, Werner ^{[3
]}

机构：

[1] Acad Sci Czech Republ, Math Inst, Zitna 25, Prague 11567 1, Czech Republic

[2] Univ Dundee, Div Math, Dundee DD1 4HN, Scotland

[3] Univ Kassel, Inst Math, D-34109 Kassel, Germany

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

Darcy-Oseen resolvent problem; semipermeable membrane; Brinkman-Darcy equations; fluid flow between free-fluid domains and porous media; compact perturbations; STOKES; HOMOGENIZATION; TRANSPORT; MODELS; SYSTEM; FLOWS; WALL; LDL;

D O I：

10.1002/mma.3872

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the well-posedness of a coupled Darcy-Oseen resolvent problem, describing the fluid flow between free-fluid domains and porous media separated by a semipermeable membrane. The influence of osmotic effects, induced by the presence of a semipermeable membrane, on the flow velocity is reflected in the transmission conditions on the surface between the free-fluid domain and the porous medium. To prove the existence of a weak solution of the generalized Darcy-Oseen resolvent system, we consider two auxiliary problems: a mixed Navier-Dirichlet problem for the generalized Oseen resolvent system and Robin problem for an elliptic equation related to the general Darcy equations. (c) 2016 The Authors Mathematical Methods in the Applied Sciences Published by John Wiley & Sons Ltd.

引用

页码：1621 / 1630

页数：10

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