Now showing items 1-4 of 4

    • 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
      Open Access
      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 a Caginalp phase-field system with two temperatures and memory 

      Conti, Monica; Gatti, Stefania; Miranville, Alain; Quintanilla de Latorre, Ramón (2017-06)
      Article
      Open Access
      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 the analyticity of the MGT-viscoelastic plate with heat conduction 

      Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla de Latorre, Ramón (2020-10)
      Article
      Open Access
      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 ...
    • Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature 

      Conti, Monica; Pata, Vittorino; Quintanilla de Latorre, Ramón (2020-10-06)
      Article
      Open Access
      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 ...