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- W2080852649 abstract "The Hamiltonian formalism for the Euler equations of an ideal fluid, superconductivity and a barotropic fluid on a D-dimensional Riemannian manifold is proposed. We show that each of these equations has an infinite series of integrals if D is even (“generalized enstrophies”) and at least one integral if D is odd (“generalized helicity”). We prove that the magnetic hydrodynamics integral f(v, B)μ is equal to the average linking number of vector fields rot v and B in terms of the ergodic theory. All the invariants considered are Casimir elements (i.e. invariants of coadjoint action) of the corresponding infinite-dimensional Lie algebras." @default.
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- W2080852649 date "1989-11-01" @default.
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- W2080852649 title "Invariants of the Euler equations for ideal or barotropic hydrodynamics and superconductivity in D dimensions" @default.
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- W2080852649 doi "https://doi.org/10.1016/0167-2789(89)90030-4" @default.
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