Now showing items 1-7 of 7

  • A Caginalp phase-field system with a nonlinear coupling 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2010-08-01)
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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)
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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 generalization of the Allen–Cahn equation 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2015-04-01)
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    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 (2009)
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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 Phase-field model based on a three-phase-lag heat conduction 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2011-02-01)
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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 ...
  • Some generalizations of the Caginalp phase-field system 

    Quintanilla de Latorre, Ramón; Miranville, Alain (2009-06)
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    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)
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    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 ...