Ara es mostren els items 1-20 de 27

    • A Caginalp phase-field system based on type III heat conduction with two temperatures 

      Miranville, Alain; Quintanilla de Latorre, Ramón (2016-06-01)
      Article
      Accés obert
      Our 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 conserved phase-field system based on the Maxwell–Cattaneo law 

      Miranville, Alain; Quintanilla de Latorre, Ramón (2013-06-01)
      Article
      Accés restringit per política de l'editorial
      Our 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 ...
    • Comparison of a size-dependent model for the latent heat of small tin nanoparticles 

      González Esteve, Adrià (Universitat Politècnica de Catalunya, 2016-07)
      Projecte Final de Màster Oficial
      Accés obert
      The classical formulation for the Stefan problem at the nanoscale does not work because the melting temperature and the effective latent heat decrease with the nanoparticle size. In this work, a model for the effective ...
    • Continuous dependence and convergence for Moore–Gibson–Thompson heat equation 

      Pellicer Sabadí, Marta; Quintanilla de Latorre, Ramón (Springer Nature, 2023-08)
      Article
      Accés obert
      In this paper, we investigate how the solutions vary when the relaxation parameter, the conductivity rate parameter, or the thermal conductivity parameter change in the case of the Moore-Gibson-Thompson heat equation. In ...
    • 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
      Accés obert
      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
      Accés obert
      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 ...
    • Energy decay in thermoelastic bodies with radial symmetry 

      Bazarra, Noelia; Fernández Bernárdez, José Ramón; Quintanilla de Latorre, Ramón (Springer Nature, 2022-06)
      Article
      Accés obert
      In this paper, we consider the energy decay of some problems involving domains with radial symmetry. Three different settings are studied: a strong porous dissipation and heat conduction, a weak porous dissipation and heat ...
    • Exponential stability to localized type III thermoelasticity 

      Muñoz Rivera, Jaime E.; Quintanilla de Latorre, Ramón (2018-11-01)
      Article
      Accés obert
      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 ...
    • Heat transfer at the nanoscale : The hyperbolic heat equation 

      Irastorza Ugalde, Beñat (Universitat Politècnica de Catalunya, 2015-07)
      Treball Final de Grau
      Accés obert
      The interest of taking technology to increasingly small scales has required great changes and advances in science. In particular, the well-known Fourier's law (very useful in large scales) has proved to be not accurate ...
    • Modelització estocàstica en temps continu. Aplicació a les dinàmiques de calor d’un edifici 

      Serra Castilla, Roger (Universitat Politècnica de Catalunya, 2020-01)
      Treball Final de Grau
      Accés obert
      En l actual context d emergència climàtica, és necessari analitzar l eficiència energètica dels edificis, incloent les dinàmiques de calor. A més, també cal determinar quins elements poden modificar la temperatura interna ...
    • 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
      Accés obert
      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 analysis of some dual-phase-lag models 

      Bazarra, Noelia; Copetti, Maria; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2019-01-15)
      Article
      Accés obert
      In this paper we analyse, from the numerical point of view, two dual-phase-lag models appearing in the heat conduction theory. Both models are written as linear partial differential equations of third order in time. The ...
    • Numerical modelling of multi-phase multi-component reactive transport in the Earth's interior 

      Oliveira, Beñat; Afonso, Juan Carlos; Zlotnik, Sergio; Díez, Pedro (2018-01-01)
      Article
      Accés obert
      We present a conceptual and numerical approach to model processes in the Earth's interior that involve multiple phases that simultaneously interact thermally, mechanically and chemically. The approach is truly multiphase ...
    • On a Caginalp phase-field system with two temperatures and memory 

      Conti, Monica; Gatti, Stefania; Miranville, Alain; Quintanilla de Latorre, Ramón (2017-06)
      Article
      Accés obert
      The Caginalp phase-field system has been proposed in [4] as a simple mathematical model for phase transition phenomena. In this paper, we are concerned with a generalization of this system based on the Gurtin-Pipkin law ...
    • On existence and numerical approximation in phase-lag thermoelasticity with two temperatures 

      Campo, Marco; Copetti, Maria; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2022-04)
      Article
      Accés obert
      In this work we study from both variational and numerical points of view a thermoelastic problem which appears in the dual-phase-lag theory with two temperatures. An existence and uniqueness result is proved in the general ...
    • On the Caginalp phase-field systems with two temperatures and the Maxwell–Cattaneo law 

      Miranville, Alain; Quintanilla de Latorre, Ramón (2016-10-31)
      Article
      Accés obert
      Our aim in this paper is to study generalizations of the nonconserved and conserved Caginalp phase-¿eld systems based on the Maxwell–Cattaneo law with two temperatures for heat conduction. In particular, we obtain ...
    • On the hyperbolic thermoelasticity with several dissipation mechanisms 

      Fernández García, José Ramón; Quintanilla de Latorre, Ramón (Springer Nature, 2023-07)
      Article
      Accés obert
      In this work, we study a two-dimensional problem involving a thermoelastic body with four dissipative mechanisms. The well-known theory proposed by Lord and Shulman is used. The existence and uniqueness of solution is ...
    • On the instability, nonexistence and spatial behaviour of the one-dimensional response of a new class of elastic bodies 

      Quintanilla de Latorre, Ramón; Rajagopal, Kumbakonam (2021-05-22)
      Article
      Accés obert
      In this note we consider 1D problems within the context of a new class of elastic bodies. Under suitable conditions on the constitutive equations we prove instability and nonexistence of solutions similar to those in place ...
    • On the regularity and stability of three-phase-lag thermoelastic plate 

      Liu, Zhuangyi; Quintanilla de Latorre, Ramón; Wang, Yang (2022)
      Article
      Accés obert
      In this paper we consider the following three-phase-lag thermoelastic plate u = ¿ ( u ¿ m ); c( _ + q ) = m (u_ + qu ) + (k + + k _): We obtain analyticity and exponential stability for the ...
    • 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 ...