Fluid-structure system with boundary conditions involving the pressure

被引：6

作者：

Casanova, Jean-Jerome ^{[1
]}

机构：

[1] Univ Paris 09, CEREMADE, CNRS, UMR 7534, Pl Marechal Lattre de Tassigny, F-75775 Paris 16, France

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2021年 / 21卷 / 01期

关键词：

Fluid-structure interaction; Navier-Stokes equations; Beam equation; Pressure boundary conditions; NAVIER-STOKES PROBLEMS; EXISTENCE; EQUATIONS;

D O I：

10.1007/s00028-020-00581-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a coupled fluid-structure system involving boundary conditions on the pressure. The fluid is described by the incompressible Navier-Stokes equations in a 2D rectangular-type domain where the upper part of the domain is described by a damped Euler-Bernoulli beam equation. Existence and uniqueness of local strong solutions without assumptions of smallness on the initial data are proved.

引用

页码：107 / 149

页数：43

共 23 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].