Ara es mostren els items 1-20 de 140

    • A Caginalp phase-field system based on type III heat conduction with two temperatures 

      Miranville, Alain; Quintanilla de Latorre, Ramón (2016-06-01)
      Article
      Accés obert
      Our aim in this paper is to study a generalization of the Caginalp phasefield system based on the theory of type III thermomechanics with two temperatures for the heat conduction. In particular, we obtain well-posedness ...
    • A Caginalp phase-field system with a nonlinear coupling 

      Miranville, Alain; Quintanilla de Latorre, Ramón (2010-08-01)
      Article
      Accés restringit per política de l'editorial
      Our aim in this article is to study a Caginalp phase-field system based on a thermomechanical theory of deformable continua proposed by Green and Naghdi (called type III thermoelasticity) and with a nonlinear coupling. ...
    • A conserved phase-field system based on the Maxwell–Cattaneo law 

      Miranville, Alain; Quintanilla de Latorre, Ramón (2013-06-01)
      Article
      Accés restringit per política de l'editorial
      Our aim in this paper is to study a generalization of the conserved Caginalp phasefield system based on the Maxwell–Cattaneo law for heat conduction and endowed with Neumann boundary conditions. In particular, we obtain ...
    • A generalization of the Allen–Cahn equation 

      Miranville, Alain; Quintanilla de Latorre, Ramón (2015-04-01)
      Article
      Accés obert
      Our aim in this paper is to study generalizations of the Allen–Cahn equation based on a modification of the Ginzburg–Landau free energy proposed in S. Torabi et al. (2009, A new phase-field model for strongly anisotropic ...
    • A generalization of the Caginalp phase-field system based on the Cattaneo law 

      Miranville, Alain; Quintanilla de Latorre, Ramón (Elsevier, 2009)
      Article
      Accés restringit per política de l'editorial
      We consider in this article a generalization of the Caginalp model for phase transitions based on the Maxwell Cattaneo law, instead of the classical Fourier law. In particular, we prove the existence and uniqueness of ...
    • A new approach to MGT-thermoviscoelasticity 

      Conti, Monica; Pata, Vittorino; Pellicer Sabadí, Marta; Quintanilla de Latorre, Ramón (American Institute of Mathematical Sciences, 2021-04-06)
      Article
      Accés restringit per política de l'editorial
      In this paper we discuss some thermoelastic and thermoviscoelastic models obtained from the Gurtin theory, based on the invariance of the entropy under time reversal. We derive differential systems where the temperature ...
    • A note on a non-standard problem for an equation with a delay term 

      Quintanilla de Latorre, Ramón (2010-07-01)
      Article
      Accés restringit per política de l'editorial
      In this note we investigate the continuous dependence of the solutions for a theory of heat conduction with a delay term. We use energy arguments to obtain the continuous dependence results and spectral arguments to prove ...
    • A note on the two temperature theory with dual-phase-lag delay: some exact solutions 

      Quintanilla de Latorre, Ramón; Jordan, P.M. (Elsevier, 2009-10)
      Article
      Accés restringit per política de l'editorial
      In this note we present exact solutions of two initial-boundary value problems (IBVP)s in the setting of a recently-introduced theory of heat conduction, wherein the two temperature theory of the late 1960s is merged ...
    • A Phase-field model based on a three-phase-lag heat conduction 

      Miranville, Alain; Quintanilla de Latorre, Ramón (2011-02-01)
      Article
      Accés restringit per política de l'editorial
      Our aim in this article is to study a phase-field system based on a three-phase-lag for the termal flux vector. In particular, we prove the existence and uniqueness of solutions and then study the spatial behavior of the ...
    • A poro-thermoelastic problem with dissipative heat conduction 

      Bazarra, Noelia; Fernández, Jose R.; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-07-18)
      Article
      Accés obert
      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 ...
    • 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
      Accés obert
      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 ...
    • A type III porous-thermo-elastic problem with quasi-static microvoids 

      Bazarra, Noelia; Castejon, Alberto; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-07-03)
      Article
      Accés obert
      In this work we study, from the numerical point of view, a one-dimensional thermoelastic problem where the thermal law is of type III. Quasi-static microvoids are also assumed within the model. The variational formulation ...
    • A type III thermoelastic problem with mixtures 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-06)
      Article
      Accés restringit per política de l'editorial
      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 ...
    • A well-posed problem for the three-dual-phase-lag heat conduction 

      Quintanilla de Latorre, Ramón (2009-12)
      Article
      Accés restringit per política de l'editorial
    • 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 (2020-10)
      Article
      Accés obert
      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 ...
    • An a priori error analysis of a porous strain gradient model 

      Baldonedo, Jacobo; Fernández, José Ramón; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (Wiley-VCH, 2021-09-04)
      Article
      Accés restringit per política de l'editorial
      In this work, we consider, from the numerical point of view, a boundary-initial value problem for non-simple porous elastic materials. The mechanical problem is written as a coupled hyperbolic linear system in terms of ...
    • An a priori error analysis of poro-thermoviscoelastic problems 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (Elsevier, 2020-08-15)
      Article
      Accés restringit per política de l'editorial
      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 ...
    • Analysis for the strain gradient theory of porous thermoelasticity 

      Fernández, José Ramón; Magaña Nieto, Antonio; Masid, Maria; Quintanilla de Latorre, Ramón (2019-01-01)
      Article
      Accés obert
      In this paper, we analyse a model involving a strain gradient thermoelastic rod with voids. Existence and uniqueness, as well as an energy decay property, are proved by means of the semigroup arguments. The variational ...
    • Analysis of a Moore-Gibson-Thompson thermoelastic problem 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-01-15)
      Article
      Accés restringit per política de l'editorial
      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 ...
    • Analysis of a thermoelastic problem of type III 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-06)
      Article
      Accés obert
      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 ...