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Toward an ultrametric theory of turbulence

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Abstract

We discuss the relation between ultrametric analysis, wavelet theory, and cascade models of turbulence. We construct explicit solutions of the nonlinear ultrametric integral equation with quadratic nonlinearity, using a recursive hierarchical procedure analogous to the procedure used for the cascade models of turbulence.

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Authors and Affiliations

  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    S. V. Kozyrev

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  1. S. V. Kozyrev
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Correspondence to S. V. Kozyrev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 157, No. 3, pp. 413–424, December, 2008.

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Kozyrev, S.V. Toward an ultrametric theory of turbulence. Theor Math Phys 157, 1713–1722 (2008). https://doi.org/10.1007/s11232-008-0143-3

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  • DOI: https://doi.org/10.1007/s11232-008-0143-3

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