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
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Article accepté pour publication ou publiéDate
2002Journal name
Journal of Mathematical Fluid MechanicsVolume
4Number
1Publisher
Springer
Pages
76-94
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Grandmont, CélineAbstract (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 equationsRelated items
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