# Maximal-in-Time Existence and Uniqueness of Strong Solution of a 3D Fluid-Structure Interaction Model

@article{Maity2020MaximalinTimeEA, title={Maximal-in-Time Existence and Uniqueness of Strong Solution of a 3D Fluid-Structure Interaction Model}, author={Debayan Maity and J. P. Raymond and Arnab Roy}, journal={SIAM J. Math. Anal.}, year={2020}, volume={52}, pages={6338-6378} }

In this work, we study a system coupling the incompressible Navier-Stokes equations in a cylindrical type domain with an elastic structure, governed by a damped shell equation, located at the lateral boundary of the domain occupied by the fluid. We prove the existence of a unique maximal strong solution.

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