Low Froude number limit of the rotating shallow water and Euler equations
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Abstract:
We perform the mathematical derivation of the rotating lake equations (or anelastic system) from the classical solution of the rotating shallow water and Euler equations when the Froude number tends to zero.References
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Additional Information
- Kung-Chien Wu
- Affiliation: Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Wilberforce Road, Cambridge, CB3 OWA, United Kingdom
- Address at time of publication: Department of Mathematics, National Kaohsiung Normal University, 824 Kaohsiung, Taiwan
- MR Author ID: 887455
- Email: kcwu@nknucc.nknu.edu.tw, kungchienwu@gmail.com
- Received by editor(s): November 24, 2011
- Received by editor(s) in revised form: April 13, 2012
- Published electronically: December 6, 2013
- Additional Notes: It is a pleasure to thank Professor Chi-Kun Lin for stimulating discussions concerning this paper. The author would also like to thank Dr. Clément Mouhot for his kind invitation to visit Cambridge during the 2011–2013 academic years.
This work is supported by the Tsz-Tza Foundation (Taiwan), National Science Council under Grant 102-2115-M-017-004-MY2 (Taiwan) and ERC Grant MATKIT (European Union) - Communicated by: Walter Craig
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 939-947
- MSC (2010): Primary 35B25, 35Q31, 76B15
- DOI: https://doi.org/10.1090/S0002-9939-2013-11981-7
- MathSciNet review: 3148528