Material surfaces in stochastic flows: integrals of motion and intermittency
Fluid Dynamics
2023-10-26 v1 Mathematical Physics
math.MP
Abstract
We consider the line, surface and volume elements of fluid in stationary isotropic incompressible stochastic flow in -dimensional space and investigate the long-time evolution of their statistic properties. We report the discovery of a family of stochastical integrals of motion that are universal in the sense their explicit form does not depend on the statistics of velocity. Only one of them has been discussed previously.
Cite
@article{arxiv.2212.10253,
title = {Material surfaces in stochastic flows: integrals of motion and intermittency},
author = {A. S. Il'yn and A. V. Kopyev and V. A. Sirota and K. P. Zybin},
journal= {arXiv preprint arXiv:2212.10253},
year = {2023}
}