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Energy decay in Green–Naghdi thermoelasticity with diffusion and dissipative boundary controls

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ABSTRACT We study the asymptotic behavior of the solutions of a three-dimensional hyperbolic system arising in the Green–Naghdi models of thermoelasticity with diffusion of type-II and III, in the presence… Click to show full abstract

ABSTRACT We study the asymptotic behavior of the solutions of a three-dimensional hyperbolic system arising in the Green–Naghdi models of thermoelasticity with diffusion of type-II and III, in the presence of dissipative boundary controls and prove that the energy exponentially decays in time.

Keywords: dissipative boundary; thermoelasticity diffusion; boundary controls; green naghdi

Journal Title: Journal of Thermal Stresses
Year Published: 2017

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