Strong stability for a fluid–structure interaction model

  title={Strong stability for a fluid–structure interaction model},
  author={Mari{\'e} Grobbelaar-Van Dalsen},
In this paper we consider the question of stabilization of a fluid–structure model that describes the interaction between a 3-D incompressible fluid and a 2-D plate, the interface, which coincides with a flat flexible part of the surface of the vessel containing the fluid. The mathematical model comprises the Stokes equations and the equations for the longitudinal deflections of the plate with inclusion of the shear stress, which the fluid exerts on the plate. We show that the energy associated… CONTINUE READING