Multipole vortex blobs (MVB): symplectic geometry and dynamics

DOI10.1007/s00332-017-9367-4zbMath1365.76212arXiv1505.05950OpenAlexW3104492046WikidataQ41076151 ScholiaQ41076151MaRDI QIDQ2359425

Henry O. Jacobs, Darryl D. Holm

Publication date: 28 June 2017

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

Full work available at URL: https://arxiv.org/abs/1505.05950

zbMATH Keywords

Hamiltonian dynamicssingular momentum mapsregularized Euler fluid equationsvortex blob methods

Mathematics Subject Classification ID

Vortex methods applied to problems in fluid mechanics (76M23) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (4)

Vortex pairs and dipoles on closed surfaces ⋮ Conservative integrators for vortex blob methods on the plane ⋮ Getting into the vortex: on the contributions of James Montaldi ⋮ Nonlinear dispersion in wave-current interactions

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