Recent Submissions

  • On the time decay of solutions in micropolar viscoelasticity 

    Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2015-07-01)
    Article
    Restricted access - publisher's policy
    This paper deals with isotropic micropolar viscoelastic materials. It can be said that that kind of materials have two internal structures: the macrostructure, where the elasticity effects are noticed, and the ...
  • A generalization of the Allen–Cahn equation 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2015-04-01)
    Article
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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 ...
  • Lower bounds of end effects for a nonhomogeneous isotropic linear elastic solid in anti-plane shear 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2015-02-01)
    Article
    Open Access
    In this paper we give lower bounds for the spatial decay of the solutions for anti-plane shear deformations in the case of isotropic inhomogeneous elastic materials. We first consider the case when the shear modulus only ...
  • Spatial stability in linear thermoelasticity 

    Knops, Robin J.; Quintanilla de Latorre, Ramón (2015-03-01)
    Article
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    Uniqueness and spatial stability are investigated for smooth solutions to boundary value problems in non-classical linearised and linear thermoelasticity subject to certain conditions on material coefficients. Uniqueness ...
  • On the asymptotic spatial behaviour of the solutions of the nerve system 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2015-03-01)
    Article
    Open Access
    In this paper we investigate the asymptotic spatial behavior of the solutions for several models for the nerve fibers. First, our analysis deals with the coupling of two parabolic equations. We prove that, under suitable ...
  • Foreword to special issue on ‘‘Qualitative Methods in Engineering Science’’ 

    Quintanilla de Latorre, Ramón; Fu, Yibin (2015-03-01)
    Article
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  • Phase-lag heat conduction: decay rates for limit problems and well-posedness 

    Borgmeyer, Karin; Quintanilla de Latorre, Ramón; Racke, Reinhard (2014-12-01)
    Article
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    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 ...
  • Hölder stability in type III thermoelastodynamics 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2014-10)
    Article
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    This note is concerned with the linear (and linearized) Type III thermoelastodynamic theory proposed by Green and Naghdi. We here assume that the mass density is positive and the thermal conductivity tensor is positive ...
  • Spatial behavior in phase-lag heat conduction 

    Quintanilla de Latorre, Ramón; Racke, Reinhard (2015-03-01)
    Article
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    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 ...
  • Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid 

    Quintanilla de Latorre, Ramón; Rajagopal, Kumbakonam (2014-10)
    Article
    Restricted access - publisher's policy
    Degradation of solids bearing load due to the infusion of moisture when exposed to the environment can leads to a decrease in their load carrying capacity and can also lead to the failure of the body from performing its ...

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