Abstract.
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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Accepted: July 18, 2001
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Grandmont, C. Existence for a Three-Dimensional Steady State Fluid-Structure Interaction Problem. J. math. fluid mech. 4, 76–94 (2002). https://doi.org/10.1007/s00021-002-8536-9
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DOI: https://doi.org/10.1007/s00021-002-8536-9