Linear stability of weak-compacton solutions to the nonlinear dispersive Ostrovsky equation
β Scribed by Jiuli Yin; Lixin Tian
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 458 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1468-1218
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In this paper we prove that sufficiently smooth solutions of the Ostrovsky equation with positive dispersion, x u + uβ x u = 0, that have exponential decay for x > 0 and such that their supports for two different times are contained in an interval (-β, B], are identically zero.
## Abstract We prove the Lipschitz continuous dependence on initial data of global spherically symmetric weak solutions to the NavierβStokes equations of a viscous polytropic ideal gas in bounded annular domains with the initial data in the Lebesgue spaces. Copyright Β© 2007 John Wiley & Sons, Ltd.