Now showing items 1-13 of 13

  • 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
    Restricted access - publisher's policy
    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
    Restricted access - publisher's policy
    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
    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
    Restricted access - publisher's policy
    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 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 ...
  • Exponential decay in one-dimensional type III thermoelasticity with voids 

    Miranville, Alain; Quintanilla de Latorre, Ramón (Elsevier, 2019-08)
    Article
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    In this paper we consider the one-dimensional type III thermoelastic 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 behavior ...
  • On a Caginalp phase-field system with two temperatures and memory 

    Conti, Monica; Gatti, Stefania; Miranville, Alain; Quintanilla de Latorre, Ramón (2017-06)
    Article
    Open Access
    The Caginalp phase-field system has been proposed in [4] as a simple mathematical model for phase transition phenomena. In this paper, we are concerned with a generalization of this system based on the Gurtin-Pipkin law ...
  • On the Caginalp phase-field systems with two temperatures and the Maxwell–Cattaneo law 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2016-10-31)
    Article
    Open Access
    Our aim in this paper is to study generalizations of the nonconserved and conserved Caginalp phase-¿eld systems based on the Maxwell–Cattaneo law with two temperatures for heat conduction. In particular, we obtain ...
  • On the spatial behavior in two-temperature generalized thermoelastic theories 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2017-10-01)
    Article
    Open Access
    This paper investigates the spatial behavior of the solutions of two generalized thermoelastic theories with two temperatures. To be more precise, we focus on the Green–Lindsay theory with two temperatures and the Lord–Shulman ...
  • On the stability in phase-lag heat conduction with two temperatures 

    Magaña Nieto, Antonio; Miranville, Alain; Quintanilla de Latorre, Ramón (2018-06-15)
    Article
    Open Access
    We investigate the well-posedness and the stability of the solutions for several Taylor approximations of the phase-lag two-temperature equations.We give conditions on the parameters which guarantee the existence and ...
  • Some generalizations of the Caginalp phase-field system 

    Quintanilla de Latorre, Ramón; Miranville, Alain (Taylor and Francis, 2009-06)
    Article
    Restricted access - publisher's policy
    Our aim in this article is to study generalizations of the Caginalp phasefield system based on a thermomechanical theory of deformable continua proposed by Green and Naghdi. In particular, we obtain well-posedness results ...
  • Spatial decay for several phase-field models 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2013-10)
    Article
    Restricted access - publisher's policy
    In this paper, we study the spatial behavior of three phase-field models. First, we consider the Cahn-Hilliard equation and we obtain the exponential decay of solutions under suitable assumptions on the data. Then, for ...