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  • Decay rates of Saint-Venant type for functionally graded heat-conducting materials 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2019-06)
    Article
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    This paper investigates decay rates for the spatial behaviour of solutions for functionally graded heat-conducting materials. From a mathematical point of view, we obtain a new inequality of Poincarétype. This new result ...

  • 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 quasi-static approximations in linear thermoelastodynamics 

    Knops, Robin J.; Quintanilla de Latorre, Ramón (2018)
    Article
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    The validity of the coupled and uncoupled quasi-static approximations is considered for the initial boundary value problem of linear thermoelasticity subject to homoge-neous Dirichlet boundary conditions, and for solutions ...

  • Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction 

    Bazarra, Noelia; Campo, Marco; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2019-06)
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    In this paper we study, from the numerical point of view, a thermoelastic problem with dual-phase-lag heat conduction. The variational formulation is written as a coupled system of hyperbolic linear variational equations. ...

  • Numerical resolution of an exact heat conduction model with a delay term 

    Campo, Marco; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2019-02)
    Article
    Open Access
    In this paper we analyze, from the numerical point of view, a dynamic thermoelastic problem. Here, the so-called exact heat conduction model with a delay term is used to obtain the heat evolution. Thus, the thermomechanical ...

  • Viscoelastic materials with a double porosity structure 

    Iesan, Dorin; Quintanilla de Latorre, Ramón (2019-02)
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    This paper in concerned with the linear theory of materials with memory that possess a double porosity structure. First, the formulation of the initial-boundary-value problem is presented. Then, a uniqueness result is ...

  • Qualitative results for a mixture of Green-Lindsay thermoelastic solids 

    Magaña Nieto, Antonio; Muñoz Rivera, Jaime E.; Naso, Maria Grazia; Quintanilla de Latorre, Ramón (2018-07)
    Article
    Open Access
    We study qualitative properties of the solutions of the system of partial differential equations modeling thermomechanical deformations for mixtures of thermoelastic solids when the theory of Green and Lindsay for the ...

  • Numerical analysis of some dual-phase-lag models 

    Bazarra, Noelia; Copetti, Maria; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2019-01-15)
    Article
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    In this paper we analyse, from the numerical point of view, two dual-phase-lag models appearing in the heat conduction theory. Both models are written as linear partial differential equations of third order in time. The ...

  • Exponential stability in type III thermoelasticity with microtemperatures 

    Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2018-10)
    Article
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    In this paper we consider the type III thermoelastic theory with microtemperatures. We study the time decay of the solutions and we prove that under suitable conditions for the constitutive tensors, the solutions decay ...

  • Some qualitative results for a modification of the Green–Lindsay thermoelasticity 

    Quintanilla de Latorre, Ramón (2018-11)
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    In this short note we consider a recent modification of the Green–Lindsay thermoelastic theory proposed at Yu et al. (Meccanica 53:2543–2554, 2018). We consider a functional defined on the solutions of the problem. It ...

  • Decay rates of Saint-Venant type for a functionally graded heat-conducting hollowed cylinder 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2018-09-18)
    Article
    Open Access
    In this paper we consider the case of a functionally graded heat-conducting hollowed cylinder. Our purpose is to investigate the consequences of the material inhomogeneity on the decay of Saint-Venant end effects in the ...

  • On the stability in phase-lag heat conduction with two temperatures 

    Magaña Nieto, Antonio; Miranville, Alain; Quintanilla de Latorre, Ramón (2018-06-15)
    Article
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    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 ...

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