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arXiv · 2311.05343

Lagrangian stochastic integrals of motion in isotropic random flows

V. A. Sirota·A. S. Il'yn·A. V. Kopyev·K. P. Zybin
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Abstract

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.

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V. A. Sirota, A. S. Il'yn, A. V. Kopyev, K. P. Zybin. 2023-11-09. Lagrangian stochastic integrals of motion in isotropic random flows. https://doi.org/10.1063/5.0189534

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