Analysis of the coupled Navier-Stokes/Biot problem

被引：39
|
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
收藏
页码：970 / 991
页数：22
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