Existence and uniqueness of solution for fluid-plate interaction problem

被引：5

作者：

Curkovic, A. ^{[1
]}

Marusic-Paloka, E. ^{[2
]}

机构：

[1] Univ Split, Dept Math, Fac Sci, Teslina 12, Split 21000, Croatia

[2] Univ Zagreb, Dept Math, Fac Sci, Bijenicka 30, Zagreb 10000, Croatia

来源：

APPLICABLE ANALYSIS | 2016年 / 95卷 / 04期

关键词：

fluid-structure interaction; viscous fluid; elastic plate; existence and uniqueness of the solution; 35Q30; 76D03; 74F10; UNSTEADY INTERACTION; WEAK SOLUTIONS; VISCOUS-FLUID; ELASTIC PLATE; EQUATIONS; FLOW;

D O I：

10.1080/00036811.2015.1027695

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the interaction of an incompressible viscous fluid occupying two-dimensional channel with an elastic plate located on one part of fluid boundary. We assume that the deformation of the boundary is small enough and consider the fluid flow equations in the initial configuration. Non-steady Stokes equations are used to model the flow, and the pressure boundary conditions are prescribed on the channel's ends. The results on existence, uniqueness, and regularity of solution are proved.

引用

页码：715 / 730

页数：16

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