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Hopf equation in random force fields of arbitrary distribution

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Abstract

An equation is obtained in variational derivatives over the external fields for the space-time functional of the velocity field with an arbitrary distribution of the random fields. Equations are obtained for the moments and response functions. The exact operator solution of these equations is obtained.

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Author information

Authors and Affiliations

  1. A. M. Gorki Ural State University, USSR

    V. V. Kiselev

Authors
  1. V. V. Kiselev
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 77–82, February, 1977.

The author would like to express his thanks to L. Ya. Kobelev for helpful discussions.

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Kiselev, V.V. Hopf equation in random force fields of arbitrary distribution. Soviet Physics Journal 20, 201–205 (1977). https://doi.org/10.1007/BF01297385

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  • DOI: https://doi.org/10.1007/BF01297385

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