Lagrangian stochastic integrals of motion in isotropic random flows

A set of exact integrals of motion is found for systems driven by homogenous isotropic stochastic flow. The integrals of motion describe the evolution of (hyper-)surfaces of different dimensions transported by the flow and can be expressed in terms of local surface densities. The expression for the...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 36; no. 2
Main Authors Sirota, V. A., Il'yn, A. S., Kopyev, A. V., Zybin, K. P.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.02.2024
Subjects
Integrals
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Summary:A set of exact integrals of motion is found for systems driven by homogenous isotropic stochastic flow. The integrals of motion describe the evolution of (hyper-)surfaces of different dimensions transported by the flow and can be expressed in terms of local surface densities. The expression for the integrals is universal: it represents general geometric properties and does not depend on the statistics of the specific flow.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0189534