### Logarithmic decay of the energy for an hyperbolic-parabolic coupled system

Ines Kamoun Fathallah (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper is devoted to the study of a coupled system which consists of a wave equation and a heat equation coupled through a transmission condition along a steady interface. This system is a linearized model for fluid-structure interaction introduced by Rauch, Zhang and Zuazua for a simple transmission condition and by Zhang and Zuazua for a natural transmission condition. Using an abstract theorem of Burq and a new Carleman estimate proved near the interface, we complete the results...