Abstract
We study the statistical properties of the density-field gradient of a passive admixture in a randomly moving medium. A expression for the relative gradient-variation field is derived. It is shown that the moments and practically all realizations of the relative gradient-variation field increase exponentially with time.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 39, No. 5, pp. 597–606, May, 1996.
This work was partially supported by Russian Foundation for Fundamental Research grant No. 95-05-14247.
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Zhukova, I.S., Saichev, A.I. On the probability properties of the density gradient of a randomly moving incompressible medium. Radiophys Quantum Electron 39, 398–404 (1996). https://doi.org/10.1007/BF02124696
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DOI: https://doi.org/10.1007/BF02124696