On the existence and the uniqueness of the solution to a fluid-structure interaction problem

被引：7

作者：

Boffi, Daniele ^{[1
,2
]}

Gastaldi, Lucia ^{[3
]}

机构：

[1] King Abdullah Univ Sci & Technol KAUST, Thuwal, Saudi Arabia

[2] Univ Pavia, Pavia, Italy

[3] Univ Brescia, DICATAM, Brescia, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 279卷

关键词：

D O I：

10.1016/j.jde.2021.01.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the linearized version of a system of partial differential equations arising from a fluid-structure interaction model. We prove the existence and the uniqueness of the solution under natural regularity assumptions. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：136 / 161

页数：26

共 42 条

[1]

Adams R. A., 2003, Pure and Applied Mathematics (Amsterdam), V140

[2] A finite element approach for the immersed boundary method [J].

Boffi, D ;

Gastaldi, L .

COMPUTERS & STRUCTURES, 2003, 81 (8-11) :491-501

[3]

Boffi D., 2013, SPRINGER SERIES COMP, V44

[4] On the hyper-elastic formulation of the immersed boundary method [J].

Boffi, Daniele ;

Gastaldi, Lucia ;

Heltai, Luca ;

Peskin, Charles S. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (25-28) :2210-2231

[5] A fictitious domain approach with Lagrange multiplier for fluid-structure interactions [J].

Boffi, Daniele ;

Gastaldi, Lucia .

NUMERISCHE MATHEMATIK, 2017, 135 (03) :711-732

[6] THE FINITE ELEMENT IMMERSED BOUNDARY METHOD WITH DISTRIBUTED LAGRANGE MULTIPLIER [J].

Boffi, Daniele ;

Cavallini, Nicola ;

Gastaldi, Lucia .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 53 (06) :2584-2604

[7] FINITE ELEMENT APPROACH TO IMMERSED BOUNDARY METHOD WITH DIFFERENT FLUID AND SOLID DENSITIES [J].

Boffi, Daniele ;

Cavallini, Nicola ;

Gastaldi, Lucia .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2011, 21 (12) :2523-2550

[8]

Boulakia M, 2017, ADV DIFFERENTIAL EQU, V22, P1

[9] Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure [J].

Boulakia, Muriel ;

Guerrero, Sergio ;

Takahashi, Takeo .

NONLINEARITY, 2019, 32 (10) :3548-3592

[10] Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate [J].

Chambolle, A ;

Desjardins, B ;

Esteban, MJ ;

Grandmont, C .

JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2005, 7 (03) :368-404

← 1 2 3 4 5 →