Dual-phase-lag heat conduction with microtemperatures

Zhuangyi Liu, Ramon Quintanilla, Yang Wang

Research output: Contribution to journalArticlepeer-review

Abstract

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 and dissipative. On this base we prove the well-posedness and exponential stability of the system by means of the semigroup theory and frequency domain method.

Original languageEnglish (US)
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
DOIs
StateAccepted/In press - 2021

Bibliographical note

Funding Information:
R. Q. is supported by the Project “Análisis Matemático Aplicado a la Termomecánica” (PID2019‐105118GB‐I00) of the Spanish Ministry of Science, Inovation and Universities.

Publisher Copyright:
© 2021 Wiley-VCH GmbH

Keywords

  • dual-phase-lag heat conduction
  • exponential stability
  • microtemperatures

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