Exponential decay for a strain gradient porous thermoelasticity with second sound
DOI:
https://doi.org/10.52737/18291163-2022.14.3-1-23Keywords:
strain gradient, thermoelasticity, second sound, exponential decayAbstract
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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