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The Exact Solutions of Some Multidimensional Generalizations of the Fokker-Planck Equation used by R. Friedrich and J. Peinke for the Description of a Turbulent Cascade

A. A. Donkov, A. D. Donkov, E. I. Grancharova

math-pharXiv:math-ph/9807011

Abstract

Some multidimensional generalizations of the Fokker-Planck equation used by R. Friedrich and J. Peinke for the description of a turbulent cascade as a stochastic process of Markovian type, are considered. The exact solutions of the Cauchy problems for these equations are found with the operator methods.

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