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

  • Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature 

    Miranville, Alain; Quintanilla de Latorre, Ramón; Saoud, Wafa (2020-04)
    Article
    Restricted access - publisher's policy
    The main goal of this paper is to study the asymptotic behavior of a coupled Cahn-Hilliard/Allen-Cahn system with temperature. The work is divided into two parts: In the rst part, the heat equation is based on the usual ...
  • Numerical analysis of a dual-phase-lag model involving two temperatures 

    Bazarra, Noelia; Fernández, José Ramón; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-12-27)
    Article
    Restricted access - publisher's policy
    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 ...
  • A problem with viscoelastic mixtures: numerical analysis and computational experiments 

    Fernández, José Ramón; Masid, Maria; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-12-06)
    Article
    Restricted access - publisher's policy
    In this paper, we study, from the numerical point of view, a dynamic problem involving a mixture of two viscoelastic solids. The mechanical problem is written as a system of two coupled partial differential equations. Its ...
  • Exponential stability in type II thermoviscoelasticity with voids 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2020-04)
    Article
    Restricted access - publisher's policy
    In 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 

    Bazarra, Noelia; Fernández, José Ramón; Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-10-30)
    Article
    Restricted access - publisher's policy
    In 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 

    Conti, Monica; Pata, Vittorino; Quintanilla de Latorre, Ramón (2019-09-27)
    Article
    Open Access
    In 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 

    Magaña Nieto, Antonio; Miranville, Alain; Quintanilla de Latorre, Ramón (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 

    Liu, Zhuangyi; Quintanilla de Latorre, Ramón; Wang, Yang (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 

    Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (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 

    Quintanilla de Latorre, Ramón (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 

    Quintanilla de Latorre, Ramón; Ueda, Yoshihiro (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 

    Fernández, José Ramón; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (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 ...

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