Existence for an Unsteady Fluid-Structure Interaction Problem
Open Access
- 1 May 2000
- journal article
- research article
- Published by EDP Sciences in ESAIM: Mathematical Modelling and Numerical Analysis
- Vol. 34 (3) , 609-636
- https://doi.org/10.1051/m2an:2000159
Abstract
We study the well-posedness of an unsteady fluid-structure interaction problem. We consider a viscous incompressible flow, which is modelled by the Navier-Stokes equations. The structure is a collection of rigid moving bodies. The fluid domain depends on time and is defined by the position of the structure, itself resulting from a stress distribution coming from the fluid. The problem is then nonlinear and the equations we deal with are coupled. We prove its local solvability in time through two fixed point procedures.Keywords
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