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Integrals of the Euler equations of multidimensional hydrodynamics and superconductivity

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Abstract

Integrals of motion of a multidimensional ideal fluid and multidimensional superconductivity connected with invariants of the coadjoint representation of the corresponding infinite dimensional Lie algebras are constructed. An ergodic interpretation of the integrals of motion of magnetohydrodynamics is suggested.

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Authors
  1. V. Yu. Ovsienko
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  2. B. A. Khesin
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  3. Yu. V. Chekanov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Akad. Nauk SSSR, Vol. 172, pp. 105–113, 1989.

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Ovsienko, V.Y., Khesin, B.A. & Chekanov, Y.V. Integrals of the Euler equations of multidimensional hydrodynamics and superconductivity. J Math Sci 59, 1096–1101 (1992). https://doi.org/10.1007/BF01480692

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  • DOI: https://doi.org/10.1007/BF01480692

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