Two‐dimensional Models for Nonlinear Vorticity Waves in Shear Flows

DOI10.1111/1467-9590.00067zbMath1136.76372OpenAlexW2017428010MaRDI QIDQ4784619

Victor I. Shrira, Vyacheslav V. Voronovich, Yury A. Stepanyants

Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00067

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Reaction effects in flows (76V05) Stability and instability of geophysical and astrophysical flows (76E20)

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Multilayer shallow water equations with complete Coriolis force. Part 2. Linear plane waves ⋮ On the properties in solutions of the Shrira equation ⋮ A novel (2+1)-dimensional nonlinear evolution equation for weakly stratified free-surface boundary layers ⋮ A vorticity wave packet breaking within a rapidly rotating vortex. Part I: The critical layer flow ⋮ Boundary layer collapses described by the two-dimensional intermediate long-wave equation ⋮ Evolution of Benjamin-Ono solitons in the presence of weak Zakharov-Kutznetsov lateral dispersion ⋮ Petviashvili type methods for traveling wave computations. II: Acceleration with vector extrapolation methods ⋮ On vorticity waves propagating in a waveguide formed by two critical layers ⋮ Instability of a stratified boundary layer and its coupling with internal gravity waves. Part 1. Linear and nonlinear instabilities ⋮ A singular vorticity wave packet within a rapidly rotating vortex: spiralling versus oscillating motions

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