An exact representation of the space-time characteristic functional of turbulent Navier-Stokes flows with prescribed random initial states and driving forces
type: Item
instance of: scholarly article
title: An exact representation of the space-time characteristic functional of turbulent Navier-Stokes flows with prescribed random initial states and driving forces
zbMATH Open document ID: 0666.76076
DOI: 10.1007/BF01019778
author: Taylan Alankus
published in: Journal of Statistical Physics
publication date: 1989-01-01T00:00:00Z
review text: By adopting a formal operator viewpoint, the space-time characteristic functional associated with Navier-Stokes turbulence is expressed in terms of a linear operator acting on the space of functionals. Obtained by a simple similarity transformation of the local translation operator generated by the nonlinear terms in the Navier-Stokes equation, this operator is unitary with respect to the formal scalar product of functionals. The equivalence of this operator representation to the functional integral representation of Rosen is shown and, for Gaussian initial velocity and external force fields, some consequences of this representation are presented.
Mathematics Subject Classification ID: 76F99
zbMATH DE Number: 4091049
zbMATH Keywords: formal operator viewpoint
zbMATH Keywords: space-time characteristic functional
zbMATH Keywords: Navier- Stokes turbulence
zbMATH Keywords: space of functionals
zbMATH Keywords: similarity transformation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4091049