• 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 ...
    • 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 ...