Existence of strong solutions for a compressible viscous fluid and a wave equation interaction system
05/05/2022 Thursday 5th of May 2022, 17:00 (Room P3.10, Mathematics Building)
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Arnab Roy, Basque Center of Applied Mathematics, Bilbao, Spain
In this talk, we consider a fluidstructure interaction system where the fluid is viscous and compressible and where the structure is a part of the boundary of the fluid domain and is deformable. The reference configuration for the fluid domain is a rectangular cuboid with the elastic structure being the top face. The fluid is governed by the barotropic compressible Navier–Stokes system, whereas the structure displacement is described by a wave equation. We show that the corresponding coupled system admits a unique, locallyintime strong solution for an initial fluid density and an initial fluid velocity in H^3 and for an initial deformation and an initial deformation velocity in H^4 and H^3 respectively.
