The kinetic origin of the fluid helicity—A symmetry in the kinetic phase space

DOI10.1063/5.0050948OpenAlexW3133803181MaRDI QIDQ5056878

Philip J. Morrison, Zensho Yoshida

Publication date: 8 December 2022

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03990

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

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• The local structure of Poisson manifolds
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• The Hamiltonian structure of the Maxwell-Vlasov equations
• Reduction of symplectic manifolds with symmetry
• Hamiltonian description of the ideal fluid
• A THEOREM ON FORCE-FREE MAGNETIC FIELDS
• Clebsch parameterization: Basic properties and remarks on its applications
• Complete measurement of helicity and its dynamics in vortex tubes
• A hierarchy of noncanonical Hamiltonian systems: circulation laws in an extended phase space
• The degree of knottedness of tangled vortex lines
• Hamiltonian moment reduction for describing vortices in shear

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