Exponential Stability in Hyperbolic Thermoelastic Diffusion Problem with Second Sound
Author
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-18
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We consider a thermoelastic diffusion problem in one space dimension with second sound.
The thermal and diffusion disturbances are modeled by Cattaneo's law for heat and diffusion equations to remove the physical paradox of infinite propagation speed in the classical theory within Fourier's law.
The system of equations in this case is a coupling of three hyperbolic equations.
It poses some new analytical and mathematical difficulties.
The exponential stability of the slightly damped and totally hyperbolic system is proved.
Comparison with classical theory is given.
American Psychological Association (APA)
Aouadi, Moncef. 2011. Exponential Stability in Hyperbolic Thermoelastic Diffusion Problem with Second Sound. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-459496
Modern Language Association (MLA)
Aouadi, Moncef. Exponential Stability in Hyperbolic Thermoelastic Diffusion Problem with Second Sound. International Journal of Differential Equations No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-459496
American Medical Association (AMA)
Aouadi, Moncef. Exponential Stability in Hyperbolic Thermoelastic Diffusion Problem with Second Sound. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-459496
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459496