We study the asymptotic behavior of the solutions of a 3-D hyperbolic system arising in linear homogeneous anisotropic thermoelasticity with a dissipative boundary condition with memory for the displacement. By introducing a boundary free energy, we prove that, if the memory kernel exponentially decays in time then also the energy exponentially decays.

On the energy decay of a linear hyperbolic thermoelastic system with dissipative boundary

LAZZARI, BARBARA;NIBBI, ROBERTA
2007

Abstract

We study the asymptotic behavior of the solutions of a 3-D hyperbolic system arising in linear homogeneous anisotropic thermoelasticity with a dissipative boundary condition with memory for the displacement. By introducing a boundary free energy, we prove that, if the memory kernel exponentially decays in time then also the energy exponentially decays.
2007
B. Lazzari; R. Nibbi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/44052
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