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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Recent Submissions

  • Moore-Gibson-Thompson theory for thermoelastic dielectrics 

    Fernández, José Ramón; Quintanilla de Latorre, Ramón (2021-01-14)
    Article
    Restricted access - publisher's policy
    We consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory. First, we obtain the system of equations for such a case. ...
  • A type III thermoelastic problem with mixtures 

    Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-06)
    Article
    Restricted access - publisher's policy
    In this work we study a thermoelastic problem involving binary mixtures. Type III thermal theory is considered for the modeling of the heat conduction. Existence, uniqueness and continuous dependence of solutions are proved ...
  • Spatial estimates for Kelvin-Voigt finite elasticity with nonlinear viscosity: well behaved solutions in space. 

    Quintanilla de Latorre, Ramón; Saccomandi, Giuseppe (2020-08-18)
    Article
    Restricted access - publisher's policy
    We provide some spatial estimates for the nonlinear partial di erential equation governing anti-plane motions in a nonlinear viscoelastic theory of Kelvin-Voigt type when the viscosity is a function of the strain rate. The ...
  • Exponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids 

    Magaña Nieto, Antonio; Miranville, Alain; Quintanilla de Latorre, Ramón (2020-12-15)
    Article
    Restricted access - publisher's policy
    In this note we study the problem proposed by the one-dimensional thermo-porous-elasticity of type II with quasi-static microvoids or, in mathematical terms, when the second time derivative of the volume fraction is so ...
  • Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures 

    Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-09-01)
    Article
    Restricted access - publisher's policy
    In this work, we consider, from the numerical point of view, a poro-thermoelastic problem. The thermal law is the so-called of type III and the microtemperatures are also included into the model. The variational formulation ...
  • A poro-thermoelastic problem with dissipative heat conduction 

    Bazarra, Noelia; Fernández, Jose R.; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-07-18)
    Article
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    In this work, we study from the mathematical and numerical points of view a poro-thermoelastic problem. A long-term memory is assumed on the heat equation. Under some assumptions on the constitutive tensors, the resulting ...
  • Two-temperatures thermo-porous-elasticity with microtemperatures 

    Fernández, Jose R.; Quintanilla de Latorre, Ramón (Elsevier, 2021-01)
    Article
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    In this note, we study a linear system of partial differential equations modelling a one-dimensional two-temperatures thermo-porous-elastic problem with microtemperatures. A new system of conditions is proposed to guarantee ...
  • An a priori error analysis of a Lord–Shulman poro-thermoelastic problem with microtemperatures 

    Baldonado, Jacobo; Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-07-08)
    Article
    Restricted access - publisher's policy
    In this paper, we deal with the numerical analysis of the Lord–Shulman thermoelastic problem with porosity and microtemperatures. The thermomechanical problem leads to a coupled system composed of linear hyperbolic partial ...
  • Moore-Gibson-Thompson thermoelasticity with two temperatures 

    Quintanilla de Latorre, Ramón (Elsevier, 2020-05)
    Article
    Open Access
    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. ...
  • Analysis of a Moore-Gibson-Thompson thermoelastic problem 

    Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-01-15)
    Article
    Restricted access - publisher's policy
    In this work, we numerically consider a thermoelastic problem where the thermal law is modeled using the so-called Moore-Gibson-Thompson equation. This thermomechanical problem is written as a coupled system composed of a ...
  • On the analyticity of the MGT-viscoelastic plate with heat conduction 

    Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla de Latorre, Ramón (2020-10)
    Article
    Restricted access - publisher's policy
    We consider a viscoelastic plate equation of Moore-Gibson-Thompson type coupled with two different kinds of thermal laws, namely, the usual Fourier one and the heat conduction law of type III. In both cases, the resulting ...
  • 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 ...

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