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

页码：970 / 991

页数：22

共 50 条

[1] A finite element scheme for the numerical solution of the Navier-Stokes/Biot coupled problem
Lozovskiy, Alexander
Olshanskii, Maxim A.
Vassilevski, Yuri V.
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2022, 37 (03) : 159 - 174
[2] The flux problem for the Navier-Stokes equations
Korobkov, M. V.
Pileckas, K.
Pukhnachev, V. V.
Russo, R.
RUSSIAN MATHEMATICAL SURVEYS, 2014, 69 (06) : 1065 - 1122
[3] Decoupled modified characteristic finite element method for the time-dependent Navier-Stokes/Biot problem
Guo, Liming
Chen, Wenbin
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2022, 38 (06) : 1684 - 1712
[4] 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
[5] Solution of the Navier-Stokes problem
Ramm, Alexander G.
APPLIED MATHEMATICS LETTERS, 2019, 87 : 160 - 164
[6] A POSTERIORI ANALYSIS OF ITERATIVE ALGORITHMS FOR NAVIER-STOKES PROBLEM
Bernardi, Christine
Dakroub, Jad
Mansour, Gihane
Sayah, Toni
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2016, 50 (04): : 1035 - 1055
[7] A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes and Darcy problem
Cesmelioglu, Aycil
Rhebergen, Sander
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 422
[8] A decoupled stabilized finite element method for the time-dependent Navier-Stokes/Biot problem
Guo, Liming
Chen, Wenbin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (17) : 10749 - 10774
[9] A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity
Caucao, Sergio
Gatica, Gabriel N.
Oyarzua, Ricardo
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 315 : 943 - 971
[10] Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow
Cesmelioglu, A.
Riviere, B.
JOURNAL OF NUMERICAL MATHEMATICS, 2008, 16 (04) : 249 - 280

← 1 2 3 4 5 →