Integrals of motion of the Euler equations of multi-dimensional hydrodynamics and superconductivity
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 105-113

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Integrals of the motion of the multidimensional ideal fluid and of the multidimensional superconducting current related to the coadjoint invariants of the corresponding infinite dimensional Lie algebras are presented. An ergodic interpretation for the integrals of the motion in magnetic hydrodynamics is established.
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     author = {V. Yu. Ovsienko and B. A. Khesin and Yu. V. Chekanov},
     title = {Integrals of motion of the {Euler} equations of multi-dimensional hydrodynamics and superconductivity},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a8/}
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V. Yu. Ovsienko; B. A. Khesin; Yu. V. Chekanov. Integrals of motion of the Euler equations of multi-dimensional hydrodynamics and superconductivity. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 105-113. http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a8/