• A new approach to MGT-thermoviscoelasticity 

      Conti, Monica; Pata, Vittorino; Pellicer Sabadí, Marta; Quintanilla de Latorre, Ramón (American Institute of Mathematical Sciences, 2021-10)
      Article
      Accés obert
      In this paper we discuss some thermoelastic and thermoviscoelastic models obtained from the Gurtin theory, based on the invariance of the entropy under time reversal. We derive differential systems where the temperature ...
    • On the analyticity of the MGT-viscoelastic plate with heat conduction 

      Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla de Latorre, Ramón (2020-10)
      Article
      Accés obert
      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 ...
    • On the decay of solutions in nonsimple elastic solids with memory 

      Pata, Vittorino; Quintanilla de Latorre, Ramón (Elsevier, 2010-02)
      Article
      Accés restringit per política de l'editorial
      The decay of solutions in nonsimple elasticity with memory is addressed, analyzing how the decay rate is influenced by the different dissipation mechanisms appearing in the equations. In particular, a first order dissipation ...
    • Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature 

      Conti, Monica; Pata, Vittorino; Quintanilla de Latorre, Ramón (2020-10-06)
      Article
      Accés obert
      In this paper, we consider a thermoelastic model where heat conduction is described by the history dependent version of the Moore–Gibson–Thompson equation, arising via the introduction of a relaxation parameter in the ...