Article ID Journal Published Year Pages File Type
1865028 Physics Letters A 2007 5 Pages PDF
Abstract

We study material lines and passive vectors in a model of turbulent flow at infinite-Reynolds number, the Kraichnan–Kazantsev ensemble of velocities that are white-noise in time and rough (Hölder continuous) in space. It is argued that the phenomenon of “spontaneous stochasticity” generalizes to material lines and that conservation of circulations generalizes to a “martingale property” of the stochastic process of lines.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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