Remark on the relation between passive scalars and diffusion backward in time

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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7 pages TEX. Amended version, one error corrected

Scientific paper

10.1016/S0375-9601(98)00196-0

The theory of stochastic differential equations is exploited to derive the
Hopf's identities for a passive scalar advected by a Gaussian drift field
delta-correlated in time. The result holds true both for compressible and
incompressible velocity field.

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