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Fomenko Invariants in the Asymptotic Theory of the Navier–Stokes Equations

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We discuss connections between Fomenko invariants of Liouville foliations and asymptotic solutions of the Navier–Stokes equations that describe vortex structures in an incompressible fluid.

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Correspondence to A. I. Shafarevich.

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To the anniversary of A. T. Fomenko

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 3, pp. 191–212, 2015.

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Maslov, V.P., Shafarevich, A.I. Fomenko Invariants in the Asymptotic Theory of the Navier–Stokes Equations. J Math Sci 225, 666–680 (2017). https://doi.org/10.1007/s10958-017-3485-2

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  • DOI: https://doi.org/10.1007/s10958-017-3485-2

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