On the local existence of solutions to the Navier-Stokes-wave system with a free interface

We address a system of equations modeling a compressible fluid interacting with an elastic body in dimension three. We prove the local existence and uniqueness of a strong solution when the initial velocity belongs to the space $H^{2+ε}$ and the initial structure velocity is in $H^{1.5+ε}$ , where $ε\in (0, 1/2)$.

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