Helicity conservation via the Noether theorem

DOI10.1063/1.531123zbMath0824.76019arXivsolv-int/9407001OpenAlexW3099025971MaRDI QIDQ4836820

Asher Yahalom

Publication date: 21 June 1995

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

Full work available at URL: https://arxiv.org/abs/solv-int/9407001

zbMATH Keywords

symmetry groupalpha group of translationsideal barotropic fluids

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (9)

A conserved local cross helicity for non-barotropic MHD ⋮ Gauge symmetries and Noether charges in Clebsch-parameterized magnetohydrodynamics ⋮ On the zero helicity condition for quantum vortex defects ⋮ Simplified variational principles for barotropic magnetohydrodynamics ⋮ Noether currents for Eulerian variational principles in non-barotropic magnetohydrodynamics and topological conservations laws ⋮ Relativistic helicity and link in Minkowski space-time ⋮ Pseudomomentum: origins and consequences ⋮ Helicity invariants in 3D: Kinematical aspects ⋮ Variational principles for topological barotropic fluid dynamics

Cites Work

• Isocirculational flows and their Lagrangian and energy principles
• The degree of knottedness of tangled vortex lines
• A note on Hamilton's principle for perfect fluids

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