Browsing by Author "Quintanilla de Latorre, Ramón"
Now showing items 1-20 of 105
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A Caginalp phase-field system based on type III heat conduction with two temperatures
(2016-06-01)
Article
Open AccessOur aim in this paper is to study a generalization of the Caginalp phasefield system based on the theory of type III thermomechanics with two temperatures for the heat conduction. In particular, we obtain well-posedness ... -
A Caginalp phase-field system with a nonlinear coupling
(2010-08-01)
Article
Restricted access - publisher's policyOur aim in this article is to study a Caginalp phase-field system based on a thermomechanical theory of deformable continua proposed by Green and Naghdi (called type III thermoelasticity) and with a nonlinear coupling. ... -
A conserved phase-field system based on the Maxwell–Cattaneo law
(2013-06-01)
Article
Restricted access - publisher's policyOur aim in this paper is to study a generalization of the conserved Caginalp phasefield system based on the Maxwell–Cattaneo law for heat conduction and endowed with Neumann boundary conditions. In particular, we obtain ... -
A generalization of the Allen–Cahn equation
(2015-04-01)
Article
Open AccessOur 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 ... -
A generalization of the Caginalp phase-field system based on the Cattaneo law
(Elsevier, 2009)
Article
Restricted access - publisher's policyWe consider in this article a generalization of the Caginalp model for phase transitions based on the Maxwell Cattaneo law, instead of the classical Fourier law. In particular, we prove the existence and uniqueness of ... -
Analysis for the strain gradient theory of porous thermoelasticity
(2019-01-01)
Article
Restricted access - publisher's policyIn this paper, we analyse a model involving a strain gradient thermoelastic rod with voids. Existence and uniqueness, as well as an energy decay property, are proved by means of the semigroup arguments. The variational ... -
Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid
(2014-10)
Article
Open AccessDegradation 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 ... -
Analyticity in porous-thermoelasticity with microtemperatures
(2012-10-15)
Article
Restricted access - publisher's policyIn this note we study the analyticity of the solutions to the one-dimensional porouselasticity problem with temperatures and microtemperatures when viscoelasticity and porous viscosity effects are also present. We show ... -
Analyticity of solutions in type III thermoelastic plates
(2010-06-01)
Article
Restricted access - publisher's policyIn this paper, we consider the system of equations that governs the evolution of the homogeneous and isotropic prestressed type III thermoelastic plates. We prove that the semigroup that generates the solutions to this ... -
Analyticity of solutions in type III thermoelastic plates [republished article]
(2010-08-01)
Article
Restricted access - publisher's policyIn this paper, we consider the system of equations that governs the evolution of the homogeneous and isotropic prestressed type III thermoelastic plates. We prove that the semigroup that generates the solutions to this ... -
A note on a non-standard problem for an equation with a delay term
(2010-07-01)
Article
Restricted access - publisher's policyIn this note we investigate the continuous dependence of the solutions for a theory of heat conduction with a delay term. We use energy arguments to obtain the continuous dependence results and spectral arguments to prove ... -
A note on the two temperature theory with dual-phase-lag delay: some exact solutions
(Elsevier, 2009-10)
Article
Restricted access - publisher's policyIn this note we present exact solutions of two initial-boundary value problems (IBVP)s in the setting of a recently-introduced theory of heat conduction, wherein the two temperature theory of the late 1960s is merged ... -
A Phase-field model based on a three-phase-lag heat conduction
(2011-02-01)
Article
Restricted access - publisher's policyOur aim in this article is to study a phase-field system based on a three-phase-lag for the termal flux vector. In particular, we prove the existence and uniqueness of solutions and then study the spatial behavior of the ... -
A well-posed problem for the three-dual-phase-lag heat conduction
(2009-12)
Article
Restricted access - publisher's policy -
Continuous dependence on initial geometry in linear elastodynamics on a half cylinder
(Elsevier, 2009)
Article
Restricted access - publisher's policyContinuous dependence on the initial time geometry is established for the mean-square integral of the displacement in a linear inhomogeneous anisotropic elastic semi-infinite cylinder in motion subject to a prescribed ... -
Decay of solutions for a mixture of thermoelastic one dimensional solids
(2013-08-01)
Article
Restricted access - publisher's policyWe study a PDE system modeling thermomechanical deformations for a mixture of thermoelastic solids. In particular we investigate the asymptotic behavior of the solutions. First, we identify conditions on the constitutive ... -
Decay of solutions for a mixture of thermoelastic solids with different temperatures
(2016-02-06)
Article
Open AccessWe study a system modeling thermomechanical deformations for mixtures of thermoelastic solids with two different temperatures, that is, when each component of the mixture has its own temperature. In particular, we investigate ... -
Decay of solutions in nonsimple thermoelastic bars
(2010-11-01)
Article
Restricted access - publisher's policyIn this paper we investigate the asymptotic behavior of the semigroup associated to the solutions of the initial boundary value problem for a one-dimensional nonsimple thermoelastic solids. We show that the semigroup is ... -
Decay rates of Saint-Venant type for a functionally graded heat-conducting hollowed cylinder
(2019-05)
Article
Open AccessIn 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
(2019-06)
Article
Restricted access - publisher's policyThis 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 ...
