Afrika Matematika

, Volume 29, Issue 1–2, pp 211–221 | Cite as

On the long-time behavior of a nonlinear damped porous thermoelastic system with second sound

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Abstract

In this paper, we consider a porous thermoelastic system with a micro-heat dissipation and a nonlinear frictional damping. We establish an explicit and general decay rate result, using some properties of the convex functions and the multiplier method. Our result is obtained without imposing any restrictive growth assumption on the damping term.

Keywords

General decay Nonlinear Damping Thermoelasticity Second sound 

Notes

Acknowledgements

The author thanks KFUPM for its continuous support.

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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland 2017

Authors and Affiliations

  1. 1.The Preparatory Year Program, Department of MathematicsKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia

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