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. https://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 | ||||
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| Additional Information: | © 2000, World Scientific | ||||
| Record Number: | CaltechAUTHORS:20100908-082643361 | ||||
| Persistent URL: | https://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: | 09 Mar 2020 13:19 |
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