In this note we consider two cases in the theory of the heat conduction models with three-phase-lag.
For each one we propose a suitable Lyapunov function. These functions are …

In this paper we investigate the temporal asymptotic behavior of the solutions of the one-dimensional
porous-elasticity problem when several damping effects are present. We show that …

Several thermomechanical models have been proposed from a heuristic point of view. A
mathematical analysis should help to clarify the applicability of these models, among those …

This article is concerned with a linear theory for elastic materials with inner structure, whose
particles in addition to the classical displacement, possess microtemperatures. In the main …

We consider a thermoelastic theory where the heat conduction is described by the Moore–Gibson–Thompson
equation. In fact, this equation can be obtained after the introduction of a …

In this note we compare two different mathematical hyperbolic models in dual-phase-lag heat
conduction proposed by Tzou, and we ask for the parameter regions where stability can be …

This paper concerns the one-dimensional problem of the porous-thermo-elasticity. Two
kinds of dissipation process are considered: the viscosity type in the porous structure and the …

This paper concerns the one-dimensional linear theory of porous elastic solids. We prove
the slow decay for the solutions of two initial-boundary value problems determined by …

In this paper we investigate the temporal decay behavior of the solutions of the one-dimensional
problem in various theories of continua with voids. It has been proved that the coupling …

In this note we propose the Moore-Gibson-Thompson heat conduction equation with two
temperatures and prove the well posedness and the exponential decay of the solutions under …