Hydrodynamic vortex on surfaces

DOI10.1007/s00332-017-9380-7zbMath1386.70034OpenAlexW2604687791WikidataQ121450371 ScholiaQ121450371MaRDI QIDQ1683005

Humberto Henrique de Barros Viglioni, Clodoaldo Grotta-Ragazzo

Publication date: 6 December 2017

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-017-9380-7

zbMATH Keywords

special metricspoint vortex dynamicsRobin functionEuler equation weak solutionsteady vortex metric

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Dynamics of a system of particles, including celestial mechanics (70F99) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (8)

Vortex pairs and dipoles on closed surfaces ⋮ Errata and addenda to: ``Hydrodynamic vortex on surfaces and ``The motion of a vortex on a closed surface of constant negative curvature ⋮ Vortex on surfaces and Brownian motion in higher dimensions: special metrics ⋮ Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability ⋮ The motion of a vortex on a closed surface of constant negative curvature ⋮ Vortex dynamics on a Möbius strip ⋮ Vortex motion and geometric function theory: the role of connections ⋮ Mathematical justification of the point vortex dynamics in background fields on surfaces as an Euler-Arnold flow

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