Recent Submissions

  • Exponential stability in three-dimensional type III thermo-porous-elasticity with microtemperatures 

    Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-09-02)
    Article
    Restricted access - publisher's policy
    We study the time decay of the solutions for the type III thermoelastic theory with microtemperatures and voids. We prove that, under suitable conditions for the constitutive tensors, the solutions decay exponentially. ...
  • Moore–Gibson–Thompson thermoelasticity 

    Quintanilla de Latorre, Ramón (2019-07-21)
    Article
    Open Access
    We consider a thermoelastic theory where the heat conduction is escribed by the Moore–Gibson–Thompson equation. In fact, this equation can be obtained after the introduction of a relaxation parameter in the Green–Naghdi ...
  • Decay structures for the equations of porous elasticity in one-dimensional whole space 

    Quintanilla de Latorre, Ramón; Ueda, Yoshihiro (2019-06-12)
    Article
    Restricted access - publisher's policy
    This paper investigates the solutions of the porous-elastic materials with dissipation in the case of the whole real line. We consider three different cases. First we consider the case when there are dissipation mechanisms ...
  • Some remarks on the fast spatial growth/decay in exterior regions 

    Quintanilla de Latorre, Ramón (2019-05-10)
    Article
    Restricted access - publisher's policy
    In this paper we investigate the spatial behavior of the solutions to several partial differential equations/systems for exterior or cone-like regions. Under certain conditions for the equations we prove that the growth/decay ...
  • On the uniqueness and analyticity in viscoelasticity with double porosity 

    Bazarra, Noelia; Fernández, José Ramón; Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-04-01)
    Article
    Open Access
    In this paper we analyze the system of equations that models the behaviour of materials with a double porous structure. We introduce dissipation mechanisms in both structures. We show existence, uniqueness and analyticity ...
  • Decay rates of Saint-Venant type for functionally graded heat-conducting materials 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2019-06)
    Article
    Restricted access - publisher's policy
    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
    Restricted access - publisher's policy
    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
    Restricted access - publisher's policy
    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)
    Article
    Restricted access - publisher's policy
    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)
    Article
    Restricted access - publisher's policy
    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 ...

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