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Dual-phase-lag heat conduction with microtemperatures

Authors :
Universitat Politècnica de Catalunya. Departament de Matemàtiques
Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
Liu, Zhuangyi
Quintanilla de Latorre, Ramón
Wang, Yang
Universitat Politècnica de Catalunya. Departament de Matemàtiques
Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
Liu, Zhuangyi
Quintanilla de Latorre, Ramón
Wang, Yang
Publication Year :
2021

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.<br />Peer Reviewed<br />Postprint (author's final draft)

Details

Database :
OAIster
Notes :
11 p., application/pdf, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1264612697
Document Type :
Electronic Resource

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