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Ara es mostren els items 149-168 de 187

    • Parabolic phase-lag heat conduction theories revisited 

      Miranville, Alain; Quintanilla de Latorre, Ramón (Elsevier, 2022-11)
      Article
      Accés restringit per política de l'editorial
      In this note we show that, under certain conditions on the coe cients, the solutions of the parabolic phase-lag heat conduction models are determined by an analytic semigroup for which the inner product determines the ...

    • Phase-lag heat conduction: decay rates for limit problems and well-posedness 

      Borgmeyer, Karin; Quintanilla de Latorre, Ramón; Racke, Reinhard (2014-12-01)
      Article
      Accés obert
      In two recent papers, the authors have studied conditions on the relaxation parameters in order to guarantee the stability or instability of solutions for the Taylor approximations to dual-phase-lag and three-phase-lag ...

    • Phragmén-Lindelöf alternative for an exact heat conduction equation with delay 

      Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2013-05-01)
      Article
      Accés restringit per política de l'editorial
      In this paper we investigate the spatial behavior of the solutions for a theory for the heat conduction with one delay term. We obtain a Phragm én- Lindelöf type alternative. That is, the solutions either decay in an ...

    • Phragmén-Lindelöf alternative for the Laplace equation with dynamic boundary conditions 

      Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2017-11-01)
      Article
      Accés obert
      This paper investigates the spatial behavior of the solutions of the Laplace equation on a semi-infinite cylinder when dynamical nonlinear boundary conditions are imposed on its lateral side. We prove a Phragmén-Lindelöf ...

    • Porous-elastic plates: Fourier versus type III 

      Fernandez Sare, Hugo D.; Quintanilla de Latorre, Ramón (2021-12)
      Article
      Accés obert
      In this paper we investigate the time decay of the solutions for a thermoelastic plate with voids in the cases when the heat conduction is modeled by the Fourier law and when it is modeled by the type III theory (with and ...

    • Qualitative properties in strain gradient thermoelasticity with microtemperatures 

      Iesan, Dorin; Quintanilla de Latorre, Ramón (2018-02-01)
      Article
      Accés obert
      This paper is devoted to the strain gradient theory of thermoelastic aterials whose microelements possess microtemperatures. The work is motivated by an increasing use of materials which possess thermal variation at a ...

    • 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
      Accés obert
      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 ...

    • Some generalizations of the Caginalp phase-field system 

      Quintanilla de Latorre, Ramón; Miranville, Alain (Taylor and Francis, 2009-06)
      Article
      Accés restringit per política de l'editorial
      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 ...

    • Some qualitative properties for the equations of pre-stressed viscoelastic solids 

      Quintanilla de Latorre, Ramón; Saccomandi, Giuseppe (Elsevier, 2009-07)
      Article
      Accés restringit per política de l'editorial
      In this paper, we study the qualitative behavior of a fifth order scalar partial differential equation arising in the framework of the small amplitude motion approximation for prestressed non-linear viscoelastic materials ...

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

      Quintanilla de Latorre, Ramón (2018-11)
      Article
      Accés obert
      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 ...

    • Some remarks on the fast spatial growth/decay in exterior regions 

      Quintanilla de Latorre, Ramón (2019-05-10)
      Article
      Accés obert
      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 ...

    • Spatial behavior for solutions in heat conduction with two delays 

      Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2015-11-01)
      Article
      Accés obert
      In this note, we investigate the spatial behavior of the solutions of the equation proposed to describe a theory for the heat conduction with two delay terms. We obtain an alternative of the Phragmén-Lindelöf type, which ...

    • Spatial behavior in high order partial differential equations 

      Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2018-04)
      Article
      Accés obert
      In this paper we study the spatial behavior of solutions to the equations obtained by taking formal Taylor approximations to the heat conduction dual-phase-lag and three-phase-lag theories, reflecting Saint-Venant's ...

    • Spatial behavior in phase-lag heat conduction 

      Quintanilla de Latorre, Ramón; Racke, Reinhard (2015-03-01)
      Article
      Accés restringit per política de l'editorial
      In this paper, we study the spatial behavior of solutions to the equations obtained by taking formal Taylor approximations to the heat conduction dual-phase-lag and three-phase-lag theories, reflecting Saint-Venant's ...

    • Spatial behavior of solutions of the three-phase-lag heat equation 

      Quintanilla de Latorre, Ramón (Elsevier, 2009-07)
      Article
      Accés restringit per política de l'editorial
      In this paper we study the spatial behaviour of solutions for the three-phase-lag heat equation on a semi-infinite cylinder. The theory of three-phase-lag heat conduction leads to a hyperbolic partial differential equation ...

    • Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section 

      Knops, Robin J.; Quintanilla de Latorre, Ramón (2015-10-01)
      Article
      Accés obert
      Alternative growth and decay estimates, reminiscent of the classical Phragmén-Lindelöf principle, are derived for a linearised thermoelastic body whose plane crosssections increase unboundedly with respect to a given ...

    • Spatial behaviour of solutions of the Moore-Gibson-Thompson equation 

      Ostoja-Starzewski, Martin; Quintanilla de Latorre, Ramón (Springer Nature, 2021-11)
      Article
      Accés obert
      In this note we study the spatial behaviour of the Moore-Gibson-Thompson equation. As it is a hyperbolic equation, we prove that the solutions do not grow along certain spatial-time lines. Given the presence of dissipation, ...

    • Spatial decay for several phase-field models 

      Miranville, Alain; Quintanilla de Latorre, Ramón (2013-10)
      Article
      Accés restringit per política de l'editorial
      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 ...

    • Spatial decay in transient heat conduction for general elongated regions 

      Knops, Robin J.; Quintanilla de Latorre, Ramón (2018-12)
      Article
      Accés obert
      Zanaboni's procedure for establishing Saint-Venant's principle is ex- tended to anisotropic homogeneous transient heat conduction on regions that are successively embedded in each other to become indefinitely elon- gated. ...

    • Spatial estimates for an equation with a delay term. 

      Quintanilla de Latorre, Ramón (2010-04-01)
      Article
      Accés restringit per política de l'editorial
      In this note, we investigate the spatial behaviour of the solutions for a theory for the heat conduction with a delay term. We obtain an alternative of the Phragmen-Lindelof type. That is de solutions either decay in a ...