Lagrangian stochastic integrals of motion in isotropic random flows
Fluid Dynamics
2026-01-29 v3 Mathematical Physics
math.MP
Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.2311.05343,
title = {Lagrangian stochastic integrals of motion in isotropic random flows},
author = {V. A. Sirota and A. S. Il'yn and A. V. Kopyev and K. P. Zybin},
journal= {arXiv preprint arXiv:2311.05343},
year = {2026}
}