Polynomial decay for a hyperbolic-parabolic coupled system ∗

  title={Polynomial decay for a hyperbolic-parabolic coupled system ∗},
  author={Jeffrey Rauch and Xu Zhang and Enrique Zuazua},
This paper analyzes the long time behavior of a linearized model for fluid-structure interaction. The space domain consists of two parts in which the evolution is governed by the heat equation and the wave equation respectively, with transmission conditions at the interface. Based on the construction of ray-like solutions by means of Geometric Optics expansions and a careful analysis of the transfer of the energy at the interface, we show the lack of uniform decay of solutions in general… CONTINUE READING
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