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

1998/07/10 by A. A. Donkov, Donkov, A. A., A. D. Donkov +4
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Condensed Matter (cond-mat) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph) #Statistical Mechanics and Entropy #cond-mat #math-ph #math.MP #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.math-ph/9807011

6 pages, latex, no figures; new e-mail address added; typos corrected in formulae (3) and (17)

openalex publication_date 1998/07/10 · arxiv created 1998/08/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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