Exponential decay for a strain gradient porous thermoelasticity with second sound

Authors

  • Afaf Ahmima Laboratory of operator theory and PDEs, University of El Oued
  • Abdelfeteh Fareh Laboratory of operator theory and PDEs, University of El Oued

DOI:

https://doi.org/10.52737/18291163-2022.14.3-1-23

Keywords:

strain gradient, thermoelasticity, second sound, exponential decay

Abstract

In this paper, we consider a strain gradient porous elastic bar subjected to a thermal disturbance modelled by Cattaneo's law for heat conduction. We use the semigroup approach to prove the existence of a unique weak solution. Although the thermal dissipation induced by the second sound thermoelasticity is weaker than that caused by the classical heat conduction, we prove that the solution decays exponentially.

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Published

2022-03-03

How to Cite

Ahmima, A., & Fareh, A. (2022). Exponential decay for a strain gradient porous thermoelasticity with second sound. Armenian Journal of Mathematics, 14(3), 1–23. https://doi.org/10.52737/18291163-2022.14.3-1-23