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Exponential stability in one-dimensional non-linear thermoelasticity with second sound

✍ Scribed by Salim A. Messaoudi; Belkacem Said-Houari

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 209 KB
Volume: 28
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.556

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✦ Synopsis

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 situation.

📜 SIMILAR VOLUMES

Thermoelasticity with second sound—expon

Thermoelasticity with second sound—exponential stability in linear and non-linear 1-d

✍ Reinhard Racke 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 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