Existence for a Three-Dimensional Steady State Fluid-Structure Interaction Problem

被引：0
|
作者：
C. Grandmont
机构：
[1] CEREMADE,
[2] Université Paris Dauphine,undefined
[3] Place du Maréchal de Lattre de Tassigny,undefined
[4] F-75775 Paris cedex 16,undefined
[5] France,undefined
来源：
Journal of Mathematical Fluid Mechanics | 2002年 / 4卷
关键词：
Keywords. Navier—Stokes equations, elasticity, fluid-structure interaction.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A steady state fluid-structure interaction problem is considered and its solvability is studied. Both the fluid and the structure are three-dimensional. The equations of the viscous fluid motion are set in an unknown domain depending on the structure displacement. The structure is elastic and its deformation depends on the stress coming from the fluid. We prove that, for small enough applied exterior forces, there exists at least one regular solution of this nonlinear coupled problem.
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页码：76 / 94
页数：18
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