Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation |
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Authors: | Moncef Aouadi Barbara Lazzari Roberta Nibbi |
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Institution: | 1. Département de Mathématique, Institut Supérieur des Sciences Appliquées et de Technologie de Mateur, Route de Tabarka, 7030, Mateur, Tunisia 2. Department of Mathematics, University of Bologna, 5 Piazza di Porta S. Donato, 40126, Bologna, Italy
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Abstract: | We study the energy decay of the solutions of a linear homogeneous anisotropic porous thermoelastic system in the context of Green and Naghdi model of type II with the following boundary condition with memory for the displacement ${{\bf T}(x,t)n(x) = -\gamma_0v(x,t) - \int_0^\infty \lambda(s)v^t(x,s) {{d}}s}$ . By introducing a boundary free energy, we prove that if the kernel λ exponentially decays in time, then also the energy exponentially decays when porosity viscosity is present. |
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