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.
B. Lazzari, R. Nibbi (2007). On the energy decay of a linear hyperbolic thermoelastic system with dissipative boundary. JOURNAL OF THERMAL STRESSES, 30, 1159-1172 [10.1080/01495730701416101].
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.File in questo prodotto:
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