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The Euler Equations on Thin Domains

Marsden, Jerrold E. and Ratiu, Tudor S. and Raugel, Geneviève (2000) The Euler Equations on Thin Domains. In: EQUADIFF 99. World Scientific , Singapore, pp. 1198-1203. ISBN 9789810243593 http://resolver.caltech.edu/CaltechAUTHORS:20100908-082643361

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Abstract

For the Euler equations in a thin domain Q_ε = Ω×(0, ε), Ω a rectangle in R^2, with initial data in (W^(2,q)(Qε))^3, q > 3, bounded uniformly in ε, the classical solution is shown to exist on a time interval (0, T(ε)), where T(є) → +∞ as є → 0. We compare this solution with that of a system of limiting equations on Ω.


Item Type:Book Section
Additional Information:© 2000, World Scientific
Record Number:CaltechAUTHORS:20100908-082643361
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20100908-082643361
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19819
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:15 Sep 2010 21:17
Last Modified:26 Dec 2012 12:24

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