Existence of Strong Solutions to a Fluid-Structure System
Julien Lequeurre · SIAM Journal on Mathematical Analysis · 2011
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.