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Statistical solutions of Euler's equations

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Abstract

Solutions of nonstationary Euler equations on a torus in R3 are investigated. For a broad class of random initial velocity fields a measure in L2(Ω× [0, T]) is constructed, the moments of which for any finite T are solutions of the corresponding chain of moment equations.

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Translated from Problemy Matematicheskogo Analiza, No. 11, pp. 27–37, 1990.

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Maslova, N.B. Statistical solutions of Euler's equations. J Math Sci 64, 1240–1247 (1993). https://doi.org/10.1007/BF01098016

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  • DOI: https://doi.org/10.1007/BF01098016

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