Exponential stability in the dual-phase-lag heat conduction theory

被引：98
|
作者：
Quintanilla, R [1 ]
机构：
[1] Univ Politecn Cataluna, Dept Appl Math 2, Barcelona 08222, Spain
来源：
JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS | 2002年 / 27卷 / 03期
关键词：
D O I：
10.1515/JNETDY.2002.012
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this paper we obtain the existence of solutions and continuous dependence on the supply terms and initial conditions for the equation of the dual-phase-lag heat conduction theory. When the phase-lag constants satisfy a certain condition we can prove exponential stability with respect to time and spatial variables. When this condition is not satisfied we can prove the instability of solutions.
引用
收藏
页码：217 / 227
页数：11
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