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Talk

Phase-lag models for heat conduction and thermoelasticity: Well-posedness and stability results

  • Karin Borgmeyer (Universität Konstanz)
G3 10 (Lecture hall)

Abstract

Cattaneo’s law can be regarded as a formal first order Taylor expansion of a delay equation consisting of Fourier’s law of heat conduction in which a delay parameter (phase lag) is added within the time dependence of the heat flux. Similarly, by including two or three delay parameters, the dual- and three-phase-lag models (developed by Tzou and Choudhuri) allow combinations of Taylor approximations of different orders.

After presenting the phase-lag models, the talk will give an overview of well-posedness and stability results for dual- and three-phase-lag equations of heat conduction and thermoelasticity. We will see that the order of Taylor approximation can decide on well-posedness and that conditions on the phase-lags are needed to guarantee stability. Exemplarily, well-posedness and (in)stability will be shown for a particular three-phase-lag heat equation.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher