In this article we study the behavior of the solutions for the three-phase-lag heat equation with localized dissipation on an Euler–Bernoulli beam model. We show that semigroup S(t) associated with the problem is of Gevrey ...

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 recent thermal or viscoelastic models. ...

In this short note, we want to describe the logarithmic convexity argument for third-order in time partial differential equations. As a consequence, we first prove a uniqueness result whenever certain conditions on the ...

In this paper we give lower bounds for the spatial decay of the solutions for anti-plane shear deformations in the case of isotropic inhomogeneous elastic materials. We first consider the case when the shear modulus only ...

In this paper we investigate two examples of thermoelastic plates free of the paradox of instan- taneous propagation of thermal or mechanical waves when only one of them is dissipative and the other is conservative. To be ...

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 suitable conditions on the constitutive parameters. ...

In this paper, we prove that the solutions to the problem determined by an elastic material with n2 coupling dissipative mechanisms decay in an exponential way for every (bounded) geometry of the body, where n is the ...

In this paper, we numerically analyse a phase-lag model with two temperatures which arises in the heat conduction theory. The model is written as a linear partial differential equation of third order in time. The variational ...

We study from a numerical point of view a multidimensional problem involving a vis- coelastic body with two porous structures. The mechanical problem leads to a linear system of three coupled hyperbolic partial differential ...

In this paper, we numerically study a thermoelastic problem arising in the Moore–Gibson–Thompson theory. Dielectrics effects are also included within the model. The corresponding problem is written in terms of the displacement ...