WELL-POSEDNESS AND EXPONENTIAL STABILITY FOR COUPLED LAM\'{E} SYSTEM WITH A viscoelastic DAMPING

Noureddine Taouaf, Noureddine Amroun, Abbes Benaissa, Abderrahmane Beniani

Abstract


In this paper, we consider  a coupled Lam\'{e} system with a viscoelastic damping in the first equation. We prove well-posedness by using Faedo-Galerkin method and establish an exponential  decay result by introducing a suitable Lyaponov functional.

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