Abstract This paper is devoted to studying the linear system of partial differential equations modelling a one-dimensional thermo-porous-elastic problem with microtemperatures in context dual-phase-lag heat conduction. Existence, uniqueness, and exponential decay solutions are proved. Polynomial stability also obtained case that relaxation parameters satisfy certain equality. Our arguments base...

Abstract In this paper, we consider the energy decay of some problems involving domains with radial symmetry. Three different settings are studied: a strong porous dissipation and heat conduction, weak conduction poro-thermoelasticity microtemperatures. all three problems, exponential is shown. Moreover, for each them finite element simulations presented to numerically demonstrate behavior.

This paper studies the generalized magneto-thermoelastic problem with microtemperatures, voids taking into account initial stress and modified Ohm’s law under three theories. The analytical solution is obtained by normal modes expressions for micro temperature, temperature distribution, displacement, components of heat flux, change in volume fraction field as well are calculated. effect thermal...