Multiple-scale asymptotic limit for rotating shallow water equations
Author:
Publisher
Science China Press., Co. Ltd.
Subject
General Mathematics
Link
https://engine.scichina.com/doi/pdf/937FE2ED9C624C059FF92CCDC8113AB2
Reference25 articles.
1. Bourgeois A J, Beale J T. Validity of the quasigeostrophic model for large-scale flow in the atmosphere and ocean. SIAM J Math Anal, 1994, 25: 1023-1068.
2. Dutrifoy A. Fast averaging for long- and short-wave scaled equatorial shallow water equations with Coriolis parameter deviating from linearity. Arch Ration Mech Anal, 2015, 216: 261-312.
3. Dutrifoy A, Majda A J. The dynamics of equatorial long waves: A singular limit with fast variable coefficients. Commun Math Sci, 2006, 4: 375-397.
4. Dutrifoy A, Majda A J. Fast wave averaging for the equatorial shallow water equations. Comm Partial Differential Equations, 2007, 32: 1617-1642.
5. Dutrifoy A, Schochet S, Majda A J. A simple justification of the singular limit for equatorial shallow-water dynamics. Comm Pure Appl Math, 2009, 62: 322-333.
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