Dual‐phase‐lag heat conduction with microtemperatures. Issue 12 (14th July 2021)

• Record Type: Journal Article
• Authors: Liu, Zhuangyi; Quintanilla, Ramon; Wang, Yang
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 101:Issue 12(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-07-14
• Subjects: dual‐phase‐lag heat conduction -- exponential stability -- microtemperatures; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.202000167
• Languages: English
• ISSNs: 0044-2267

Abstract

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. 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.