Analysis of the coupled Navier-Stokes/Biot problem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:456

Article

Cesmelioglu, Aycil¹ 

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

关键词: Navier-Stokes;    Darcy;    Biot;    Poroelastic;    Weak formulation;    Existence;   

DOI  :  10.1016/j.jmaa.2017.07.037

来源: Elsevier

【 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.

【 授权许可】

Free