Variational formulation of the motion of an ideal fluid on the basis of gauge principle

DOI10.1016/j.physd.2007.09.020zbMath1143.76412arXiv0707.1779OpenAlexW1969983352MaRDI QIDQ942780

Tsutomu Kambe

Publication date: 5 September 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1779

zbMATH Keywords

variational formulationChern-Simons termEuler's equationhelicitygauge principle

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Variational methods applied to problems in fluid mechanics (76M30) Incompressible inviscid fluids (76B99)

Cites Work

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• Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed
• Topological methods in hydrodynamics
• Gauge principle and variational formulation for ideal fluids with reference to translation symmetry
• Gauge principle for flows of an ideal fluid
• Perfect fluid theory and its extensions
• The Electrodynamics of Material Media

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