Material surfaces in stochastic flows: integrals of motion and intermittency

Abstract

We consider the line, surface and volume elements of fluid in stationary isotropic incompressible stochastic flow in $d$-dimensional space and investigate the long-time evolution of their statistic properties. We report the discovery of a family of $d!-1$ 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.

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Cited by in corpus (2)

• Lagrangian stochastic integrals of motion in isotropic random flows
• Stochastic identities for random isotropic fields