Exponential decay for a strain gradient porous thermoelasticity with second sound

Armenian Journal of Mathematics

article

Afaf Ahmima¹  Abdelfeteh Fareh¹ 

[1] Laboratory of operator theory and PDEs, University of El Oued

关键词: Strain gradient;    thermoelasticity;    second sound;    exponential decay;   

DOI  :  10.52737/18291163-2022.14.3-1-23

学科分类：环境科学（综合）

来源: National Academy of Sciences of the Republic of Armenia

【 摘 要 】

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.

【 授权许可】

CC BY