In this paper, we consider the system of equations that governs the evolution of the homogeneous and isotropic prestressed type III thermoelastic plates. We prove that the semigroup that generates the solutions to this ...

In this paper, we propose a system of equations governing the dual-phase-lag heat conduction with microtemperatures. Several conditions on the coefficients are imposed so that the energy of the system is positive definite ...

In this paper, we study the energy decay rate for a mixed type II and type III thermoelastic system. The system consist of a wave equation and a heat equation of type II in another part of the domain, coupled in certain ...

In this note we consider the following linear partial different equation which is usually seen as an approximation to the dual-phase-lag heat equation proposed by Tzou. $$ \dot {T}+\tau_q \ddot {T}+\frac{\tau_{q}^{2}}{ ...

In this work we consider the non-simple theory of elastic material with voids and we investigate how the coupling of these two aspects of the material affects the behavior of the solutions. We analyze only two kind of ...

In a recent paper the authors studied a generic problem determined by the onedimensional porous-thermoelasticity with microtemperatures in the context of the dual-phase-lag theory. Energy decay rates for that system were ...