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Analyticity of the semigroup associated with a Stokes-wave interaction system and application to the system of interaction between a viscous incompressible fluid and an elastic structure
We consider a viscous incompressible fluid interacting with an elastic structure located on a part of its boundary. The fluid motion is modeled by the bi-dimensional Navier-Stokes system and the structure follows the linear wave equation in dimension 1 in space. Our aim is to study the linearized system coupling …