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Existence of Strong Solutions to a Fluid-Structure System

Julien Lequeurre

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Source: Crossref

Published: Jan 1, 2011

DOI: 10.1137/10078983x

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Source abstract

We study a coupled fluid-structure system. The structure corresponds to a part of the boundary of a domain containing an incompressible viscous fluid. The structure displacement is modeled by a damped beam equation. We prove the existence of strong solutions to our system for small data and the existence of local strong solutions for any initial data.

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