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Diagram equations of the theory of fully developed turbulence

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Abstract

Skeleton diagram equations of turbulence theory — the Dyson equations and the equations for vertices of three types — are obtained nonperturbatively. Their derivation is based on the use of an equation in functional derivatives for the characteristic functional of a hydrodynamic system described by Navier-Stokes equations in the presence of an external random force. The iterative solution of these equations reproduces the perturbation series for second moments that is usually obtained in a more complicated way and also the series for the third moments.

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Authors
  1. É. V. Teodorovich
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Additional information

Institute of Problems in Mechanics, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 101, No. 1, pp. 28–37, October, 1994.

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Teodorovich, É.V. Diagram equations of the theory of fully developed turbulence. Theor Math Phys 101, 1177–1183 (1994). https://doi.org/10.1007/BF01079253

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  • DOI: https://doi.org/10.1007/BF01079253

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