Solitary waves on a vorticity layer

DOI10.1017/S0022112094000674zbMath0804.76020MaRDI QIDQ4304636

Javier Jiménez, F. J. Higuera

Publication date: 31 August 1994

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

contour dynamicsEuler equationsKorteweg-de Vries equationBenjamin-Ono equationaxisymmetric caseuniform vorticityplanar caseazimuthal vorticity

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Cites Work

• Steady-state solutions of the Euler equations in two dimensions: Rotating and translating V-states with limiting cases. I: Numerical algorithms and results
• The boundary layer induced by a convected two-dimensional vortex
• Interfacial progressive gravity waves in a two-layer shear flow
• Dynamics of vorticity fronts
• The nonlinear instability of Hill's vortex
• Finite-amplitude solitary waves at the interface between two homogeneous fluids
• A family of steady, translating vortex pairs with distributed vorticity
• The nonlinear behaviour of a constant vorticity layer at a wall
• The touching pair of equal and opposite uniform vortices
• The response of Hill's spherical vortex to a small axisymmetric disturbance
• Prandtl–Batchelor flow past a flat plate at normal incidence in a channel–inviscid analysis
• The rollup of a vortex layer near a wall
• Turbulent vortex rings
• Internal waves of permanent form in fluids of great depth
• Weakly non-linear waves in rotating fluids
• Solitary waves in concentrated vortices
• The minimal flow unit in near-wall turbulence

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