Open AccessExponential decay for a strain gradient porous thermoelasticity with second sound
Author(s) -
Afaf Ahmima,
Abdelfeteh Fareh
Publication year - 2022
Publication title -
armenian journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 1
ISSN - 1829-1163
DOI - 10.52737/18291163-2022.14.3-1-23
Subject(s) - thermal conduction , second sound , exponential decay , temperature gradient , semigroup , porous medium , sound (geography) , dissipation , strain (injury) , mechanics , physics , thermal , exponential function , mathematical analysis , porosity , heat equation , materials science , mathematics , thermodynamics , composite material , acoustics , quantum mechanics , anatomy , medicine
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.