Dual-phase-lag heat conduction with microtemperatures

Zhuangyi Liu; Ramon Quintanilla; Yang Wang

doi:10.1002/zamm.202000167

Dual-phase-lag heat conduction with microtemperatures

Zhuangyi Liu, Ramon Quintanilla, Yang Wang

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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 language	English (US)
Article number	e202000167
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	101
Issue number	12
DOIs	https://doi.org/10.1002/zamm.202000167
State	Published - Dec 2021

Bibliographical note

Funding Information:
R. Q. is supported by the Project ?An?lisis Matem?tico Aplicado a la Termomec?nica? (PID2019-105118GB-I00) of the Spanish Ministry of Science, Inovation and?Universities.

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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10.1002/zamm.202000167

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title = "Dual-phase-lag heat conduction with microtemperatures",

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.",

keywords = "dual-phase-lag heat conduction, exponential stability, microtemperatures",

author = "Zhuangyi Liu and Ramon Quintanilla and Yang Wang",

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AU - Liu, Zhuangyi

AU - Quintanilla, Ramon

AU - Wang, Yang

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PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

KW - dual-phase-lag heat conduction

KW - exponential stability

KW - microtemperatures

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Dual-phase-lag heat conduction with microtemperatures

Abstract

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