Journal of Mathematical Physics, Analysis, Geometry
2022, vol. 18, No 1, pp. 57-74   https://doi.org/10.15407/mag18.01.057     ( to contents , go back )
https://doi.org/10.15407/mag18.01.057

General Decay Result for a Weakly Damped Thermo-Viscoelastic System with Second Sound

Amel Boudiaf

Department of Mathematics, Faculty of Science, University Farhat Abbas of setif1, Setif 19000, Algeria
E-mail: amel.boudiaf@univ-setif.dz

Salah Drabla

Department of Mathematics, Faculty of Science, University Farhat Abbas of setif1, Setif 19000, Algeria
E-mail: drabla s@univ-setif.dz

Received October 8, 2020, revised December 15, 2020.

Abstract

In this paper, an n-dimensional thermo-viscoelastic system with second sound with a weak frictional damping is considered. We establish an explicit and general decay rate result using some properties of convex functions. Our result is obtained without imposing any restrictive growth assumptions on the frictional damping term.

Mathematics Subject Classification 2010: 35B37, 35L55, 74D05, 93D15, 93D20
Key words: general decay, weak frictional damping, thermo-viscoelastic system with second sound, convexity

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