The relations between Lagrangian and Eulerian probabilities are obtained for the case of variable density of fluid. The general stochastic model for trajectories in nonhomogeneous turbulence is considered, and probability for Lagrangian forcing is expressed in terms of Eulerian distribution. The criterion of the influence of boundaries on the asymptotic behavior of trajectories is presented.
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Е. А. Новиков (1986) studied this question.
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