Is. Zhukova et Ai. Saichev, EULER STATISTICS OF THE DENSITY FIELD OF PASSIVE TRACERS IN INCOMPRESSIBLE AND COMPRESSIBLE MEDIA, Journal of applied mathematics and mechanics, 61(5), 1997, pp. 765-773
General forms of a relation between the Lagrangian and Eulerian probab
ility distributions of the Jacobian as well as the densities of passiv
e tracers in a turbulent medium are obtained. Using these, in the case
s of a compressible and an incompressible medium, the probability prop
erties of the density under various initial distributions of the latte
r are analysed and studied. Expressions far the moments of the density
field are obtained. (C) 1998 Elsevier Science Ltd. All rights reserve
d.