The Wiener-Hermite Expansion with Time-Dependent Ideal Random Function
Open Access
- 1 February 1969
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 41 (2) , 358-366
- https://doi.org/10.1143/PTP.41.358
Abstract
Extension of the Wiener-Hermite expansion to a new one with time-dependent ideal random function is proposed. Exact Gaussian solutions for an incompressible inviscid fluid, which are not expressed in terms of the truncated usual Wiener-Hermite expansion, are expressed by a single term of the new expansion. Application of this formulation to the shear flow turbulence is discussed and also the possibility of application to the nearly Gaussian phenomena is remarked.Keywords
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