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Dual-phase-lag heat conduction with microtemperatures

Author
Liu, Z.; Quintanilla, R.; Wang, Y.
Type of activity
Journal article
Journal
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Date of publication
2021-07-14
First page
1
Last page
11
DOI
10.1002/zamm.202000167
Project funding
Mathematical Analysis Applied to Thermomechanics
Repository
http://hdl.handle.net/2117/349526 Open in new window
URL
https://onlinelibrary.wiley.com/doi/10.1002/zamm.202000167 Open in new window
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.
Citation
Liu, Z.; Quintanilla, R.; Wang, Y. Dual-phase-lag heat conduction with microtemperatures. "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik", 14 Juliol 2021, p. 1-11.
Keywords
Dual-phase-lag heat conduction, Exponential stability, Microtemperatures
Group of research
GRAA - Research Group in Applied Analysis

Participants