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Gaussian fields and random flow

Published online by Cambridge University Press:  29 March 2006

Alexandre Joel Chorin
Alexandre Joel Chorin
Affiliation:
Department of Mathematics, University of California, Berkeley
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Abstract

The high-frequency component of the random solution of a model problem is shown to be statistically orthogonal to the Gaussian component. This is shown to be a consequence of the existence of an equilibrium range. It is concluded that random flow fields can be viewed as being approximately Gaussian only in a very special sense and, in particular, that Wiener–Hermite expansions can provide a useful description only of large-scale hydrodynamical phenomena.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 63 , Issue 1 , 18 March 1974 , pp. 21 - 32
Copyright
© 1974 Cambridge University Press

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