L'objectiu principal del grup de recerca és l'estudi dels problemes termomecànics que poden ser modelats mitjançant equacions en derivades parcials. Aquest fet ha de ser entès en sentit ampli ja que els problemes tèrmics o, fins i tot, altres tipus de problemes amb valors inicials i a la frontera també són d'interès per al nostre grup.

The main aim of the research group is to study thermomechanical problems that can be modelled in terms of partial differential equations. The group?s field of interest is broad, however, and includes not only thermal problems but also other subjects that can be modelled in terms of initial and boundary value problems.

The main aim of the research group is to study thermomechanical problems that can be modelled in terms of partial differential equations. The group?s field of interest is broad, however, and includes not only thermal problems but also other subjects that can be modelled in terms of initial and boundary value problems.

### Recent Submissions

• #### On the time decay in phase-lag thermoelasticity with two temperatures ﻿

(AMER INST MATHEMATICAL SCIENCES-AIMS, 2019-09-12)
Article
Open Access
The 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 policy
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}}{ ...
• #### Exponential stability in three-dimensional type III thermo-porous-elasticity with microtemperatures ﻿

(2019-09-02)
Article
Restricted access - publisher's policy
We 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 Access
We 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 policy
This 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 ...
• #### On the exponential decay of solutions in dual-phase-lag porous thermoelasticity ﻿

(Springer, 2019-06-03)
Part of book or chapter of book
Restricted access - publisher's policy
In the last years, a big interest has been developed to understand the time decay of solutions for the porous thermoelasticity with different thermal mechanisms. We here want to consider the problem of the one-dimensional ...
• #### Some remarks on the fast spatial growth/decay in exterior regions ﻿

(2019-05-10)
Article
Restricted access - publisher's policy
In 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 Access
In 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 policy
This 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 policy
In 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 ...
• #### On quasi-static approximations in linear thermoelastodynamics ﻿

(2018)
Article
Restricted access - publisher's policy
The validity of the coupled and uncoupled quasi-static approximations is considered for the initial boundary value problem of linear thermoelasticity subject to homoge-neous Dirichlet boundary conditions, and for solutions ...
• #### Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction ﻿

(2019-06)
Article
Restricted access - publisher's policy
In this paper we study, from the numerical point of view, a thermoelastic problem with dual-phase-lag heat conduction. The variational formulation is written as a coupled system of hyperbolic linear variational equations. ...