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

Details 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 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

arxiv.org/abs/math-ph/9807011v3

Physics

Mathematical Physics

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

Scientific paper

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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