Dual-phase-lag heat conduction with microtemperatures

Liu, Zhuangyi; Quintanilla de Latorre, Ramón; Wang, Yang

doi:10.1002/zamm.202000167

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Liu, Zhuangyi

Quintanilla de Latorre, Ramón

Wang, Yang

Document typeArticle

Defense date2021-12

Rights accessOpen Access

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder

ProjectANALISIS MATEMATICO APLICADO A LA TERMOMECANICA (AEI-PID2019-105118GB-I00)

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.

CitationLiu, Z.; Quintanilla, R.; Wang, Y. Dual-phase-lag heat conduction with microtemperatures. "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik", Desembre 2021, Vol. 101, núm. 12, article e202000167.

URIhttp://hdl.handle.net/2117/349526

DOI10.1002/zamm.202000167

ISSN1521-4001

Publisher versionhttps://onlinelibrary.wiley.com/doi/10.1002/zamm.202000167

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