Exponential decay for a strain gradient porous thermoelasticity with second sound

Afaf Ahmima

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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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Exponential decay for a strain gradient porous thermoelasticity with second sound

Abstract

Author(s)

Table of Contents

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Exponential decay for a strain gradient porous thermoelasticity with second sound

Abstract

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