Abstract
We address the system of fluid–structure interaction consisting of a compressible Navier–Stokes equation coupled with an elasticity equation, with the velocity and stress continuity requirements across the free moving interface. We prove the a priori estimates for existence of solutions when the initial velocity belongs to H3, the initial density is bounded from below and belongs to H3/2+r, where r > 0, and the initial velocity of the displacement is in H3/2+r.
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Recommended by A L Bertozzi