On the Energy Decay of a Linear Hyperbolic Thermoelastic System with Dissipative Boundary
We study the asymptotic behavior of the solutions of a 3-D hyperbolic system arising in linear homogeneous anisotropic thermoelasticity with the following boundary condition with memory for the displacement [image omitted] By introducing a boundary free energy, we prove that, if the kernel exponentially decays in time then also the energy exponentially decays.
Keywords: Boundary conditions of memory type; Exponential asymptotic stability; Integro-differential equations; Thermoelasticity
Document Type: Research Article
Affiliations: Department of Mathematics, University of Bologna, Bologna, Italy
Publication date: 01 November 2007
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