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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