Exponential decay for a strain gradient porous thermoelasticity with second sound

Author(s)

Exponential decay for a strain gradient porous thermoelasticity with second sound Afaf Ahmima

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.

DOI: 10.52737/18291163-2022.14.3-1-23 Armenian Journal of Mathematics, 14(3) 1-23

Download PDF

Keywords

strain gradient, thermoelasticity, second sound, exponential decay

Check for updates

Share

Contact admin with any questions, comments or concerns

[email protected]