The response of a rotating ellipse of uniform potential vorticity to gravity wave radiation

DOI10.1063/1.868360zbMath0884.76086OpenAlexW2048337149MaRDI QIDQ4851090

R. W. Ford

Publication date: 5 March 1998

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868360

zbMATH Keywords

shallow water equationsweak compressibilitymatched asymptotic expansionCoriolis parametersmall Froude numberKirchhoff's solution

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

• Instabilities of two-dimensional inviscid compressible vortices
• The elliptical model of two-dimensional vortex dynamics. I: The basic state
• The elliptical model of two-dimensional vortex dynamics. II: Disturbance equations
• On the backreaction of acoustic radiation for distributed two-dimensional vortex structures
• Two-layer geostrophic vortex dynamics. Part 1. Upper-layer V-states and merger
• Aerodynamic Sound Emission as a Singular Perturbation Problem
• On sound generated aerodynamically I. General theory
• The compressible vortex pair