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  • Spatial estimates for Kelvin-Voigt finite elasticity with nonlinear viscosity: well behaved solutions in space. 

    Quintanilla de Latorre, Ramón; Saccomandi, Giuseppe (2020-08-18)
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    We provide some spatial estimates for the nonlinear partial di erential equation governing anti-plane motions in a nonlinear viscoelastic theory of Kelvin-Voigt type when the viscosity is a function of the strain rate. 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)
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    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 ...

  • Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures 

    Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-09-01)
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    In this work, we consider, from the numerical point of view, a poro-thermoelastic problem. The thermal law is the so-called of type III and the microtemperatures are also included into the model. The variational formulation ...

  • A poro-thermoelastic problem with dissipative heat conduction 

    Bazarra, Noelia; Fernández, Jose R.; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-07-18)
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    In this work, we study from the mathematical and numerical points of view a poro-thermoelastic problem. A long-term memory is assumed on the heat equation. Under some assumptions on the constitutive tensors, the resulting ...

  • Two-temperatures thermo-porous-elasticity with microtemperatures 

    Fernández, Jose R.; Quintanilla de Latorre, Ramón (Elsevier, 2021-01)
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    In this note, we study a linear system of partial differential equations modelling a one-dimensional two-temperatures thermo-porous-elastic problem with microtemperatures. A new system of conditions is proposed to guarantee ...

  • An a priori error analysis of a Lord–Shulman poro-thermoelastic problem with microtemperatures 

    Baldonado, Jacobo; Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-07-08)
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    In this paper, we deal with the numerical analysis of the Lord–Shulman thermoelastic problem with porosity and microtemperatures. The thermomechanical problem leads to a coupled system composed of linear hyperbolic partial ...

  • Moore-Gibson-Thompson thermoelasticity with two temperatures 

    Quintanilla de Latorre, Ramón (Elsevier, 2020-05)
    Article
    Open Access
    In this note we propose the Moore-Gibson-Thompson heat conduction equation with two temperatures and prove the well posedness and the exponential decay of the solutions under suitable conditions on the constitutive parameters. ...

  • Analysis of a Moore-Gibson-Thompson thermoelastic problem 

    Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-01-15)
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    In this work, we numerically consider a thermoelastic problem where the thermal law is modeled using the so-called Moore-Gibson-Thompson equation. This thermomechanical problem is written as a coupled system composed of a ...

  • On the analyticity of the MGT-viscoelastic plate with heat conduction 

    Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla de Latorre, Ramón (2020-10)
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    We consider a viscoelastic plate equation of Moore-Gibson-Thompson type coupled with two different kinds of thermal laws, namely, the usual Fourier one and the heat conduction law of type III. In both cases, the resulting ...

  • Analysis of a thermoelastic problem of type III 

    Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-06)
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    This paper investigates several aspects of the linear type III thermoelastic theory. First, we consider the most general system of equations for this theory in the case that the conductivity rate is not definite and we ...

  • Lord–Shulman thermoelasticity with microtemperatures 

    Bazarra, Noelia; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2020-06-06)
    Article
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    In this paper we consider the Lord–Shulman thermoelastic theory with porosity and microtemperatures. The new aspect we propose here is to introduce a relaxation param- eter in the microtemperatures. Then we obtain an ...

  • On uniqueness and instability for some thermomechanical problems involving the Moore– Gibson–Thompson equation 

    Pellicer, Marta; Quintanilla de Latorre, Ramón (2020-06)
    Article
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    It is known that in the case that several constitutive tensors fail to be positive definite the system of the ther- moelasticity could become unstable and, in certain cases, ill-posed in the sense of Hadamard. In this ...

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