Classification of Casimirs in 2D hydrodynamics

zbMath1415.76518arXiv1702.01843MaRDI QIDQ5383955

Anton Izosimov, Boris A. Khesin

Publication date: 20 June 2019

Full work available at URL: https://arxiv.org/abs/1702.01843

zbMATH Keywords

vorticitycoadjoint orbitcirculationCasimir functionarea-preserving diffeomorphismsMorse functionenstrophyReeb graphhydrodynamical Euler equation

Mathematics Subject Classification ID

Group structures and generalizations on infinite-dimensional manifolds (58B25) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Foundations of fluid mechanics (76A02) Euler equations (35Q31)

Related Items (6)

Geometric hydrodynamics in open problems ⋮ Gravitational edge modes, coadjoint orbits, and hydrodynamics ⋮ Morse-Darboux lemma for surfaces with boundary ⋮ The helicity uniqueness conjecture in 3d hydrodynamics ⋮ On maximally mixed equilibria of two-dimensional perfect fluids ⋮ Vortex flows on closed surfaces

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