Exploració per tema "Exponential stability"

Ara es mostren els items 1-10 de 10

    • 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 ...

    • Dual-phase-lag heat conduction with microtemperatures 

      Liu, Zhuangyi; Quintanilla de Latorre, Ramón; Wang, Yang (2021-12)
      Article
      Accés obert
      In this paper, we propose a system of equations governing the dual-phase-lag heat conduction with microtemperatures. Several conditions on the coefficients are imposed so that the energy of the system is positive definite ...

    • 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 ...

    • Moore-Gibson-Thompson thermoelasticity with two temperatures 

      Quintanilla de Latorre, Ramón (Elsevier, 2020-05)
      Article
      Accés obert
      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. ...

    • On the phase-lag with equation with spatial dependent lags 

      Liu, Zhuangyi; Quintanilla de Latorre, Ramón; Wang, Yang (2017-11-01)
      Article
      Accés obert
      In this paper we investigate several qualitative properties of the solutions of the dual-phase-lag heat equation and the three-phase-lag heat equation. In the first case we assume that the parameter tTtT depends on the ...

    • On the regularity and stability of the dual-phase-lag equation 

      Liu, Zhuangyi; Quintanilla de Latorre, Ramón; Wang, Yang (Elsevier, 2020-02)
      Article
      Accés obert
      In this note we consider the following linear partial different equation which is usually seen as an approximation to the dual-phase-lag heat equation proposed by Tzou. $$ \dot {T}+\tau_q \ddot {T}+\frac{\tau_{q}^{2}}{ ...

    • 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 ...

    • On the time decay in phase-lag thermoelasticity with two temperatures 

      Magaña Nieto, Antonio; Miranville, Alain; Quintanilla de Latorre, Ramón (AMER INST MATHEMATICAL SCIENCES-AIMS, 2019-09-12)
      Article
      Accés obert
      The aim of this paper is to study the time decay of the solutions for two models of the one-dimensional phase-lag thermoelasticity with two temperatures. The first one is obtained when the heat flux vector and the inductive ...

    • Stability for thermoelastic plates with two temperatures 

      Quintanilla de Latorre, Ramón; Racke, Reinhard (2017-12-01)
      Article
      Accés obert
      We investigate the well-posedness, the exponential stability, or the lack thereof, of thermoelastic systems in materials where, in contrast to classical thermoelastic models for Kirchhoff type plates, two temperatures are ...

    • 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 ...