Exploració per tema "Exponential decay"

Ara es mostren els items 1-20 de 23

    • A MGT thermoelastic problem with two relaxation parameters 

      Bazarra, Noelia; Fernández García, José Ramón; Quintanilla de Latorre, Ramón (Springer Nature, 2023-10)
      Article
      Accés obert
      n this paper, we consider, from both analytical and numerical viewpoints, a thermoelastic problem. The so-called MGT model, with two different relaxation parameters, is used for both the displacements and the thermal ...

    • Analysis for the strain gradient theory of porous thermoelasticity 

      Fernández, José Ramón; Magaña Nieto, Antonio; Masid, Maria; Quintanilla de Latorre, Ramón (2019-01-01)
      Article
      Accés obert
      In 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 ...

    • Decay for strain gradient porous elastic waves 

      Baldonedo, Jacobo; Fernández, José Ramón; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2023-02)
      Article
      Accés obert
      We study the one-dimensional problem for the linear strain gradient porous elasticity. Our aim is to analyze the behavior of the solutions with respect to the time variable when a dissipative structural mechanism is ...

    • Decay of quasi-static porous-thermo-elastic waves 

      Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2021-06)
      Article
      Accés obert
      We study the behavior in time of the solutions to several systems of equations for porous-thermo-elastic problems when one of the variables is considered to be quasi-static or, in other words, whose second time derivative ...

    • Decay of solutions for a mixture of thermoelastic solids with different temperatures 

      Muñoz Rivera, Jaime E.; Naso, Maria Grazia; Quintanilla de Latorre, Ramón (2016-02-06)
      Article
      Accés obert
      We 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 for strain gradient mixtures 

      Magaña Nieto, Antonio; Magaña Centelles, Marc; Quintanilla de Latorre, Ramón (Wiley-VCH, 2023-02)
      Article
      Accés obert
      We study antiplane shear deformations for isotropic and homogeneous strain gradient mixtures of the Kelvin-Voigt type in a cylinder. Our aim is to analyze the behaviour of the solutions with respect to the time variable ...

    • Decay of solutions for strain gradient mixtures 

      Magaña Centelles, Marc (Universitat Politècnica de Catalunya, 2021-10)
      Projecte Final de Màster Oficial
      Accés restringit per decisió de l'autor
      We study the three-dimensional problem for antiplane shear deformations in the case of isotropic and homogeneous mixtures in a cylinder. Our aim is to analyze the behaviour of the solutions with respect to the time variable ...

    • Exponential decay in nonsimple thermoelasticity of type III 

      Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2016-01-15)
      Article
      Accés obert
      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 type II thermoviscoelasticity with voids 

      Miranville, Alain; Quintanilla de Latorre, Ramón (2020-04)
      Article
      Accés obert
      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 decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids 

      Magaña Nieto, Antonio; Miranville, Alain; Quintanilla de Latorre, Ramón (2020-12-15)
      Article
      Accés obert
      In this note we study the problem proposed by the one-dimensional thermo-porous-elasticity of type II with quasi-static microvoids or, in mathematical terms, when the second time derivative of the volume fraction is so ...

    • Exponential stability in three-dimensional type III thermo-porous-elasticity with microtemperatures 

      Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-04)
      Article
      Accés obert
      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
      Accés obert
      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 ...

    • Moore-Gibson-Thompson theory for thermoelastic dielectrics 

      Fernández, José Ramón; Quintanilla de Latorre, Ramón (2021-02)
      Article
      Accés obert
      We consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory. First, we obtain the system of equations for such a case. ...

    • On (non-)exponential decay in generalized thermoelasticity with two temperatures 

      Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón; Racke, Reinhard (Elsevier, 2017-08)
      Article
      Accés obert
      We study solutions for the one-dimensional problem of the Green-Lindsay and the Lord-Shulman theories with two temperatures. First, existence and uniqueness of weakly regular solutions are obtained. Second, we prove the ...

    • On the thermoelasticity with several dissipative mechanisms of type III 

      Fernández García, José Ramón; Quintanilla de Latorre, Ramón (2023-05-30)
      Article
      Accés obert
      It is accepted that we cannot obtain the exponential decay of the solutions to the type III thermoelasticity when the dimension of the domain is greater than one. In this short note, we prove that we can show the exponential ...

    • On the thermoelasticity with two porosities: asymptotic behaviour 

      Bazarra, Noelia; Fernández, José Ramón; Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-09-01)
      Article
      Accés obert
      In this paper we consider the one-dimensional version of thermoelasticity with two porous structures and porous dissipation on one or both of them. We first give an existence and uniqueness result by means of semigroup ...

    • On the time decay of solutions in micropolar viscoelasticity 

      Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2015-07-01)
      Article
      Accés obert
      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 ...

    • On the uniqueness and analyticity of solutions in micropolar thermoviscoelasticity 

      Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2014-04-01)
      Article
      Accés obert
      This paper deals with the linear theory of isotropic micropolar thermoviscoelastic materials. When the dissipation is positive definite, we present two uniqueness theorems. The first one requires the extra assumption that ...

    • 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 ...

    • 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, ...