We study the asymptotic behavior of the solution of a 3-D hyperbolic system arising in the Green-Naghdi models of thermoelasticity of type II and III with a dissipative boundary condition for the displacement and prove that the energy exponentially decays in time.
B. Lazzari, R. Nibbi (2008). On the exponential decay in thermoelasticity without energy dissipation and of type III in presence of an absorbing boundary. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 338, 317-329 [10.1016/j.jmaa.2007.05.017].
On the exponential decay in thermoelasticity without energy dissipation and of type III in presence of an absorbing boundary
LAZZARI, BARBARA;NIBBI, ROBERTA
2008
Abstract
We study the asymptotic behavior of the solution of a 3-D hyperbolic system arising in the Green-Naghdi models of thermoelasticity of type II and III with a dissipative boundary condition for the displacement and prove that the energy exponentially decays in time.File in questo prodotto:
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