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Abstract

One of concerns of statistical hydrodynamics is the problem on spreading a passive tracer in random velocity field, which is of significant importance in ecological problems of tracer diffusion in Earth’s atmosphere and oceans [50, 239, 258, 263, 268], in the diffusion in porous media [51], and in the problem on the large-scale mass distribution at the last stage of the formation of universe [289]. This problem is extensively investigated beginning from pioneer works [23, 24, 311, 312]. Further, many researchers obtained different equations for describing passive tracer statistical characteristics in both Eulerian and Lagrangian descriptions. Derivation of such type equations (for both moment functions of the tracer concentration field and tracer concentration probability density) for different models of fluctuating parameters in different approximations and their analysis was actively continued even in the last decade.

Keywords

Indicator Function Moment Function Liouville Equation Particle Number Density Lagrangian Description 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.A.M. Obukhov Institute of Atmospheric Physics Russian Academy of SciencesMoscowRussia

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