Now showing items 1-20 of 181

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

      Miranville, Alain; Quintanilla de Latorre, Ramón (2016-06-01)
      Article
      Open Access
      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
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      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
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      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 fully discrete approximation of a new two-temperature thermoelastic model 

      Baldonedo, Jacobo; Fernández García, José Ramón; Quintanilla de Latorre, Ramón (Taylor & Francis Group, 2023-07)
      Article
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      In this work, we study a new thermoelastic model with two temperatures from the numerical point of view. The problem is written as a coupled linear system whose unknowns are the displacement field and the conductivity and ...
    • A generalization of the Allen–Cahn equation 

      Miranville, Alain; Quintanilla de Latorre, Ramón (2015-04-01)
      Article
      Open Access
      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
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      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 higher-order porous thermoelastic problem with microtemperatures 

      Fernández García, José Ramón; Quintanilla de Latorre, Ramón (Springer, 2023-11-01)
      Article
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      In this paper, we study a porous thermoelastic problem with microtemperatures assuming parabolic higher order in time derivatives for the thermal variables. The model is derived and written as a coupled linear system. Then, ...
    • A MGT thermoelastic problem with two relaxation parameters 

      Bazarra, Noelia; Fernández García, José Ramón; Quintanilla de Latorre, Ramón (Springer Nature, 2023-10)
      Article
      Open Access
      n this paper, we consider, from both analytical and numerical viewpoints, a thermoelastic problem. The so-called MGT model, with two different relaxation parameters, is used for both the displacements and the thermal ...
    • A Moore-Gibson-Thompson heat conduction equation for non centrosymmetric rigid solids 

      Bazarra, Noelia; Fernández García, José Ramón; Quintanilla de Latorre, Ramón (John Wiley & sons, 2023-10-04)
      Article
      Open Access
      In this paper, we propose a new thermal model based on the so-called Moore-Gibson-Thompson equation for heat conduction, assuming that the material is not centrosymmetric. The existence of a unique solution is proved, ...
    • A new approach to MGT-thermoviscoelasticity 

      Conti, Monica; Pata, Vittorino; Pellicer Sabadí, Marta; Quintanilla de Latorre, Ramón (American Institute of Mathematical Sciences, 2021-10)
      Article
      Open Access
      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
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      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)
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      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
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      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
      Open Access
      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 (2021)
      Article
      Open Access
      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 second gradient theory of thermoelasticity 

      Iesan, Dorin; Quintanilla de Latorre, Ramón (Springer Nature, 2023-12)
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      This paper is concerned with a linear theory of thermoelasticity without energy dissipation, where the second gradient of displacement and the second gradient of the thermal displacement are included in the set of independent ...
    • A type III porous-thermo-elastic problem with quasi-static microvoids 

      Bazarra, Noelia; Castejon, Alberto; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-12)
      Article
      Open Access
      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
      Open Access
      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
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    • 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
      Open Access
      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 ...