Now showing items 21-40 of 108

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

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2019-05)
    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 ...
  • 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 ...
  • Decay structures for the equations of porous elasticity in one-dimensional whole space 

    Quintanilla de Latorre, Ramón; Ueda, Yoshihiro (2019-06-12)
    Article
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    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 ...
  • Energy decay rate of a mixed type II and type III thermoelastic system 

    Liu, Zhuangyi; Quintanilla de Latorre, Ramón (2010-11-01)
    Article
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    In this paper, we study the energy decay rate for a mixed type II and type III thermoelastic system. The system consist of a wave equation and a heat equation of type II in another part of the domain, coupled in certain ...
  • Equacions diferencials : problemes resolts 

    Leseduarte Milán, María Carme; Llongueras Arola, Maria Dolors; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (Iniciativa Digital Politècnica, 2012)
    Book
    Open Access
    La resolució de problemes és una metodologia activa d'aprenentatge que estimula l'adquisició de coneixements i, alhora, ajuda a desenvolupar competències. Al món de l'enginyeria es fan servir models matemàtics on apareixen ...
  • Exponential decay in a thermoelastic mixture of solids 

    Alves, M.S.; Muñoz Rivera, Jaime E.; Quintanilla de Latorre, Ramón (Elsevier, 2009-04)
    Article
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    In this paper, we investigate the asymptotic behaviour of solutions to the initial boundary value problem for a one-dimensional mixture of thermoelastic solids. Our main result is to establish a necessary and sufficient ...
  • Exponential decay in nonsimple thermoelasticity of type III 

    Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2016-01-15)
    Article
    Open Access
    This paper deals with the model proposed for nonsimple materials with heat conduction of type III.We analyze rst the general system of equations, determine the behavior of its solutions with respect to the time and show ...
  • Exponential decay in one-dimensional porous-thermo-elasticity 

    Sánchez Casas, José Pablo; Quintanilla de Latorre, Ramón (2004)
    Article
    Open Access
    This paper concerns the one dimensional problem of the porous-thermo-elasticity. Two kinds of dissipation process are considered: the viscosity type in the porous structure and the thermal dissipation. It is known that ...
  • 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 ...
  • Exponential stability in thermoelasticity with microtemperatures 

    Sánchez Casas, José Pablo; Quintanilla de Latorre, Ramón (2003)
    Article
    Open Access
    This article is concerned with a linear theory for elastic materials with inner structure, whose particles in addition to the classical displacement, possess microtemperatures. In the main part of the paper we restrict ...
  • Exponential stability in three-dimensional type III thermo-porous-elasticity with microtemperatures 

    Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-09-02)
    Article
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    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. ...
  • 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 ...
  • Exponential stability in type II thermoviscoelasticity with voids 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2020-04)
    Article
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    In this paper we consider the one-dimensional type II thermoviscoelastic 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 ...
  • Exponential stability to localized type III thermoelasticity 

    Muñoz Rivera, Jaime E.; Quintanilla de Latorre, Ramón (2018-11-01)
    Article
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    This paper investigates the system proposed by a wave equation and a heat equation of type III in one part of the domain; a wave equation and a heat equation of type II in another part of the domain, coupled in a certain ...
  • Foreword to special issue on ‘‘Qualitative Methods in Engineering Science’’ 

    Quintanilla de Latorre, Ramón; Fu, Yibin (2015-03-01)
    Article
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  • Further mathematical results concerning Burgers fluids and their generalizations 

    Quintanilla de Latorre, Ramón; Rajagopal, Kumbakonam (2012-02-01)
    Article
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    In this paper, we extend the earlier work by Quintanilla and Rajagopal (Math Methods Appl Sci 29: 2133–2147, 2006) and establish qualitative new results for a proper generalization of Burgers’ original work that stems ...
  • Hölder stability in type III thermoelastodynamics 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2014-10)
    Article
    Open Access
    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 ...
  • Ill-posed problems in thermomechanics 

    Dreher, Michael; Quintanilla de Latorre, Ramón; Racke, Reinhard (Elsevier, 2009-09)
    Article
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    Several thermomechanical models have been proposed from a heuristic point of view. A mathematical analysis should help to clarify the applicability of these models, among those recent thermal or viscoelastic models. ...
  • Impossibility of localization in thermo-porous-elasticity with microtemperatures 

    Quintanilla de Latorre, Ramón (Springer Wien, 2009-10)
    Article
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    In this note, we prove the impossibility of the localization in-time for the solutions of the linear porous-thermo-elasticity with microtemperatures theory. This means that the only solution for this problem that vanishes ...
  • 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 ...