Thumbnail - No thumbnail

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

Grandmont, Céline (2002), Existence for a Three-Dimensional Steady State Fluid-Structure Interaction Problem, Journal of Mathematical Fluid Mechanics, 4, 1, p. 76-94. http://dx.doi.org/10.1007/s00021-002-8536-9

View/Open
Type
Article accepté pour publication ou publié
Date
2002
Journal name
Journal of Mathematical Fluid Mechanics
Volume
4
Number
1
Publisher
Springer
Pages
76-94
Publication identifier
Metadata
Show full item record
Author(s)
Grandmont, Céline
Abstract (EN)
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.
Subjects / Keywords
Fluid-structure interaction; elasticity; Navier–Stokes equations