Fast Wave Averaging for the Equatorial Shallow Water Equations

DOI10.1080/03605300601188730zbMath1166.35361OpenAlexW2091753376MaRDI QIDQ5437537

Andrew J. Majda, Alexandre Dutrifoy

Publication date: 21 January 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://dipot.ulb.ac.be/dspace/bitstream/2013/52617/1/Dutrifoy_Majda-CPDE-06-04-02.pdf

zbMATH Keywords

singular limitzonal jetsequatorial shallow water equationsfast averaging

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) General theory of rotating fluids (76U05) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (10)

Singular limits of the Cauchy problem to the two-layer rotating shallow water equations ⋮ Semiclassical and spectral analysis of oceanic waves ⋮ Unnamed Item ⋮ Initial investigations of precipitating quasi-geostrophic turbulence with phase changes ⋮ Fast averaging for long- and short-wave scaled equatorial shallow water equations with Coriolis parameter deviating from linearity ⋮ Fast-wave averaging with phase changes: asymptotics and application to moist atmospheric dynamics ⋮ A simple justification of the singular limit for equatorial shallow‐water dynamics ⋮ Balanced and unbalanced components of moist atmospheric flows with phase changes ⋮ Effects of clouds and phase changes on fast-wave averaging: a numerical assessment ⋮ Singular Limits of Symmetric Hyperbolic Systems with Large Variable-Coefficient Terms

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