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
相关论文
共 50 条
  • [21] UNILATERAL PROBLEM FOR NAVIER-STOKES EQUATIONS
    PROUSE, G
    ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1972, 52 (03): : 337 - &
  • [22] The Cauchy problem for Navier-Stokes equations
    He, C
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 209 (01) : 228 - 242
  • [23] Evaluation of Micronozzle Performance through DSMC, Navier-Stokes and Coupled DSMC/Navier-Stokes Approaches
    La Torre, Federico
    Kenjeres, Sasa
    Kleijn, Chris R.
    Moerel, Jean-Luc P. A.
    COMPUTATIONAL SCIENCE - ICCS 2009, PART I, 2009, 5544 : 675 - +
  • [24] ON A FREE PISTON PROBLEM FOR STOKES AND NAVIER-STOKES EQUATIONS
    Muha, Boris
    Tutek, Zvonimir
    GLASNIK MATEMATICKI, 2012, 47 (02) : 381 - 400
  • [25] ANALYSIS OF AN AUGMENTED MIXED-FEM FOR THE NAVIER-STOKES PROBLEM
    Camano, Jessika
    Oyarzua, Ricardo
    Tierra, Giordano
    MATHEMATICS OF COMPUTATION, 2017, 86 (304) : 589 - 615
  • [26] A posteriori analysis of the Newton method applied to the Navier-Stokes problem
    Dakroub, Jad
    Faddoul, Joanna
    Sayah, Toni
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 63 (1-2) : 411 - 437
  • [27] Shape Optimization problem for the coupled model of linear elasticity with Navier-Stokes equation
    Lasiecka, Irena
    Szulc, Katarzyna
    Zochowski, Antoni
    2014 19TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2014, : 169 - 170
  • [28] Existence and uniqueness results for a coupled problem related to the stationary Navier-Stokes system
    Climent, B
    FernandezCara, E
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1997, 76 (04): : 307 - 319
  • [29] A conforming mixed finite element method for the Navier-Stokes/Darcy coupled problem
    Discacciati, Marco
    Oyarzua, Ricardo
    NUMERISCHE MATHEMATIK, 2017, 135 (02) : 571 - 606
  • [30] On the solution of the coupled Navier-Stokes and Darcy equations
    Chidyagwai, Prince
    Riviere, Beatrice
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (47-48) : 3806 - 3820
12345