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Well-posedness and exponential stability for coupled Lamé system with a viscoelastic damping. (English) Zbl 1499.35395

Summary: In this paper, we consider a coupled Lamé 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.

MSC:

35L55 Higher-order hyperbolic systems
74D05 Linear constitutive equations for materials with memory
37B25 Stability of topological dynamical systems
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