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