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Exponential Stability in the Dual-Phase-Lag Heat Conduction Theory
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R. Quintanilla
Published/Copyright:
June 1, 2005
Abstract
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.
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Published Online: 2005-06-01
Published in Print: 2002-09-30
Copyright © 2002 by Walter de Gruyter GmbH & Co. KG
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Articles in the same Issue
- Optimization in the Face of Contradictory Criteria – the Example of Muscle
- Exponential Stability in the Dual-Phase-Lag Heat Conduction Theory
- Maximum Frictional Dissipation and the Information Entropy of Windspeeds
- First and Second-Law Efficiencies in a New Thermodynamical Diagram
- The Influence of Heat Transfer Irreversibilities on the Optimal Performance of Diabatic Distillation Columns
- Optimality in Multi-stage Operations with Asymptotically Vanishing Cost
- Liquid-Vapour Phase Change Rates and Interfacial Entropy Production
