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

页码：217 / 227

页数：11

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