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# Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate

@article{Grandmont2008ExistenceOW, title={Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate}, author={C{\'e}line Grandmont}, journal={SIAM J. Math. Analysis}, year={2008}, volume={40}, pages={716-737} }

- Published 2008 in SIAM J. Math. Analysis
DOI:10.1137/070699196

The purpose of this work is to study the existence of solutions for an unsteady fluidstructure interaction problem. We consider a three-dimensional viscous incompressible fluid governed by the Navier–Stokes equations, interacting with a flexible elastic plate located on one part of the fluid boundary. The fluid domain evolves according to the structure’s displacement, itself resulting from the fluid force. We prove the existence of at least one weak solution as long as the structure does not… CONTINUE READING

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