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Spatial stability in linear thermoelasticity

✍ Scribed by Knops, R.J.; Quintanilla, R.


Book ID
121810933
Publisher
Elsevier Science
Year
2015
Tongue
English
Weight
752 KB
Volume
88
Category
Article
ISSN
0020-7225

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πŸ“œ SIMILAR VOLUMES


Thermoelasticity with second soundβ€”expon
✍ Reinhard Racke πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 224 KB

## Abstract We consider linear and non‐linear thermoelastic systems in one space dimension where thermal disturbances are modelled propagating as wave‐like pulses travelling at finite speed. This removal of the physical paradox of infinite propagation speed in the classical theory of thermoelastici

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In this paper, we consider a one-dimensional non-linear system of thermoelasticity with second sound. We establish an exponential decay result for solutions with small 'enough' initial data. This work extends the result of Racke (Math. Methods Appl. Sci. 2002; 25:409 -441) to a more general situatio