Analysis of the coupled Navier-Stokes/Biot problem

被引：42

作者：

Cesmelioglu, Aycil ^{[1
]}

机构：

[1] Oakland Univ, Dept Math & Stat, 146 Lib Dr, Rochester, MI 48309 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 456卷 / 02期

关键词：

Navier-Stokes; Darcy; Biot; Poroelastic; Weak formulation; Existence; JOSEPH; FRACTURES; BEAVERS; MODEL; FLOW;

D O I：

10.1016/j.jmaa.2017.07.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze a weak formulation of the coupled problem defining the interaction between a free fluid and a poroelastic structure. The problem is governed by the time-dependent incompressible Navier Stokes equations and the Biot equations. Under a small data assumption, existence and uniqueness results are proved and a priori estimates are provided. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：970 / 991

页数：22

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