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arxiv: math-ph/9807011 · v3 · submitted 1998-07-10 · 🧮 math-ph · cond-mat· math.MP· physics.flu-dyn

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

classification 🧮 math-ph cond-matmath.MPphysics.flu-dyn
keywords cascadedescriptionequationexactfokker-planckfriedrichgeneralizationsmultidimensional
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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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