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Exponential stability in type II thermoviscoelasticity with voids
(2020-04)
Article
Restricted access - publisher's policyIn this paper we consider the one-dimensional type II thermoviscoelastic theory with voids. We prove that generically we have exponential stability of the solutions. This is a striking fact if one compares it with the ... -
On the linear thermoelasticity with two porosities: numerical aspects
(2019-10-30)
Article
Restricted access - publisher's policyIn this work we analyze, from the numerical point of view, a dynamic problem involving a thermoelastic rod. Two porosities are considered: the first one is the macro-porosity, connected with the pores of the material, and ... -
Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
(2019-09-27)
Article
Open AccessIn this paper, we consider a thermoelastic model where heat conduction is described by the history dependent version of the Moore–Gibson–Thompson equation, arising via the introduction of a relaxation parameter in the ... -
On the time decay in phase-lag thermoelasticity with two temperatures
(AMER INST MATHEMATICAL SCIENCES-AIMS, 2019-09-12)
Article
Open AccessThe aim of this paper is to study the time decay of the solutions for two models of the one-dimensional phase-lag thermoelasticity with two temperatures. The first one is obtained when the heat flux vector and the inductive ... -
On the regularity and stability of the dual-phase-lag equation
(Elsevier, 2020-02)
Article
Restricted access - publisher's policyIn 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}}{ ... -
Exponential stability in three-dimensional type III thermo-porous-elasticity with microtemperatures
(2019-09-02)
Article
Restricted access - publisher's policyWe study the time decay of the solutions for the type III thermoelastic theory with microtemperatures and voids. We prove that, under suitable conditions for the constitutive tensors, the solutions decay exponentially. ... -
Moore–Gibson–Thompson thermoelasticity
(2019-07-21)
Article
Open AccessWe consider a thermoelastic theory where the heat conduction is escribed by the Moore–Gibson–Thompson equation. In fact, this equation can be obtained after the introduction of a relaxation parameter in the Green–Naghdi ... -
Decay structures for the equations of porous elasticity in one-dimensional whole space
(2019-06-12)
Article
Restricted access - publisher's policyThis paper investigates the solutions of the porous-elastic materials with dissipation in the case of the whole real line. We consider three different cases. First we consider the case when there are dissipation mechanisms ... -
Some remarks on the fast spatial growth/decay in exterior regions
(2019-05-10)
Article
Restricted access - publisher's policyIn this paper we investigate the spatial behavior of the solutions to several partial differential equations/systems for exterior or cone-like regions. Under certain conditions for the equations we prove that the growth/decay ... -
On the uniqueness and analyticity in viscoelasticity with double porosity
(2019-04-01)
Article
Open AccessIn this paper we analyze the system of equations that models the behaviour of materials with a double porous structure. We introduce dissipation mechanisms in both structures. We show existence, uniqueness and analyticity ... -
Decay rates of Saint-Venant type for functionally graded heat-conducting materials
(2019-06)
Article
Restricted access - publisher's policyThis paper investigates decay rates for the spatial behaviour of solutions for functionally graded heat-conducting materials. From a mathematical point of view, we obtain a new inequality of Poincarétype. This new result ... -
Exponential decay in one-dimensional type III thermoelasticity with voids
(Elsevier, 2019-08)
Article
Restricted access - publisher's policyIn this paper we consider the one-dimensional type III thermoelastic theory with voids. We prove that generically we have exponential stability of the solutions. This is a striking fact if one compares it with the behavior ...
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