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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… Click to show full 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 that their explicit form does not depend on the statistics of velocity. Only one of them has been discussed previously.
Keywords:
surfaces stochastic;
motion;
stochastic flows;
material surfaces;
flows integrals;
integrals motion
Journal Title: Physical review. E
Year Published: 2022
Link to full text (if available)
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Journal Title: Physical review. E
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!