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.

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  • Analysis of a thermoelastic problem of type III 

    Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-06)
    Article
    Restricted access - publisher's policy
    This paper investigates several aspects of the linear type III thermoelastic theory. First, we consider the most general system of equations for this theory in the case that the conductivity rate is not definite and we ...
  • Lord–Shulman thermoelasticity with microtemperatures 

    Bazarra, Noelia; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2020-06-06)
    Article
    Restricted access - publisher's policy
    In this paper we consider the Lord–Shulman thermoelastic theory with porosity and microtemperatures. The new aspect we propose here is to introduce a relaxation param- eter in the microtemperatures. Then we obtain an ...
  • On uniqueness and instability for some thermomechanical problems involving the Moore– Gibson–Thompson equation 

    Pellicer, Marta; Quintanilla de Latorre, Ramón (2020-06)
    Article
    Restricted access - publisher's policy
    It is known that in the case that several constitutive tensors fail to be positive definite the system of the ther- moelasticity could become unstable and, in certain cases, ill-posed in the sense of Hadamard. In this ...
  • Exponential decay in one-dimensional Type II/III thermoelasticity with two porosities 

    Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-04-26)
    Article
    Restricted access - publisher's policy
    In this paper we consider the theory of thermoelasticity with a double porosity structure in the context of the Green-Naghdi types II and III heat conduction models. For the type II, the problem is given by four hyperbolic ...
  • An a priori error analysis of poro-thermoviscoelastic problems 

    Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (Elsevier, 2020-08-15)
    Article
    Restricted access - publisher's policy
    In this paper, we study, from the numerical point of view, a dynamic one-dimensional problem arising in thermoelasticity and thermoviscoelasticity of types II and III. Porosity is also included into the models. The generic ...
  • 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 ...

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