Electron. J. Diff. Equ., Vol. 2014 (2014), No. 202, pp. 1-18.

General boundary stabilization result of memory-type thermoelasticity with second sound

Fairouz Boulanouar, Salah Drabla

Abstract:
In this article we consider an n-dimensional system of visco-thermoelasticity with second sound, where a viscoelastic dissipation is acting on a part of the boundary. We prove an explicit general decay rate result without imposing $u_0=0$ as in [17]. This allows a larger class of relaxation functions and initial data, hence, generalizes some previous results existing in the literature.

Submitted August 1, 2014. Published September 30, 2014.
Math Subject Classifications: 35B37, 35L55, 74D05, 93D15, 93D20.
Key Words: Thermoelasticity with second sound; viscoelastic damping; decay; relaxation function; boundary stabilization; convexity.

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Fairouz Boulanouar
Department of Mathematics, Faculty of Sciences
University Farhat Abbas of Setif1
Setif 19000, Algeria
email: boulanoir_b@yahoo.com
Salah Drabla
Department of Mathematics, Faculty of Sciences
University Farhat Abbas of Setif1
Setif 19000, Algeria
email: drabla_s@univ-setif.dz

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