On the existence of localized rotational disturbances which propagate without change of structure in an inviscid fluid

DOI10.1017/S0022112086001180zbMath0624.76130MaRDI QIDQ3026670

Henry Keith Moffatt

Publication date: 1986

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

zbMATH Keywords

steady Euler equationsvortex ringsmagnetic relaxationStokes stream functionstreamline topologylocalized rotational disturbancesmagnetostatic equilibria

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Foundations of fluid mechanics (76A02)

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Cites Work

• Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 1. Fundamentals
• The degree of knottedness of tangled vortex lines
• Examples of steady vortex rings of small cross-section in an ideal fluid
• A family of steady vortex rings