Rasetti-Regge Dirac bracket formulation of Lagrangian fluid dynamics of vortex filaments

DOI10.1016/S0378-4754(02)00187-8zbMath1036.76001OpenAlexW2109071398MaRDI QIDQ1869170

Darryl D. Holm

Publication date: 9 April 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(02)00187-8

zbMATH Keywords

constrained Hamiltonian dynamicsEuler fluidnonlocal nonlinear Schrödinger equationsHasimoto transformationincompressible potential flowBetchov-Da Rios equationEuler-alpha modellocal induction approximationMarsden-Weinstein bracketRosenhead regularizationsuperfluid helium-IItransverse self-induction velocity

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Statistical mechanics of superfluids (82D50) Superfluids (classical aspects) (76A25)

Related Items

On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows, Geometric gradient-flow dynamics with singular solutions

Cites Work

• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Poisson geometry of the filament equation
• Topological methods in hydrodynamics
• An Introduction to the Geometry and Topology of Fluid Flows
• The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics
• Vortex Dynamics
• A soliton on a vortex filament
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