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Linear stability of weak-compacton solutions to the nonlinear dispersive Ostrovsky equation

✍ 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 + uβˆ‚ x u = 0, that have exponential decay for x > 0 and such that their supports for two different times are contained in an interval (-∞, B], are identically zero.

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## Abstract We prove the Lipschitz continuous dependence on initial data of global spherically symmetric weak solutions to the Navier–Stokes 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.