Multiphase Transport in the Space of Stochastic Tempered Distributions

1 May 1986

journal article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 36 (2) , 159-175
https://doi.org/10.1093/imamat/36.2.159

Abstract

We construct a stochastic distributional theory for multiscale, multiphase transport. Field variables are viewed as stochastic tempered distributions on Rⁿ . The field variables are made operational via convolution with a deterministic compact distribution which is a representation of the measurement device. The correlation over scales of a field variable is analysed in a stochastic functional setting. Examples of functional transport equations, as represented by spectral measures, are presented

Keywords

SPACE
MULTIPHASE TRANSPORT
STOCHASTIC TEMPERED DISTRIBUTIONS

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