Unified approach to weak turbulence
type: Item
instance of: scholarly article
title: Unified approach to weak turbulence
zbMATH Open document ID: 0568.76055
DOI: 10.1007/BF00656113
author: K. L. Vithal
author: R. P. Vats
published in: Astrophysics and Space Science
publication date: 1983-01-01T00:00:00Z
review text: Expansion methods from the dynamical theory of statistical mechanics were used to unify weak homogeneous turbulence formulations. The hierarchy of the associated wave-correlation functions are closed and the dynamical equations which statistically describe the nonlinear interaction of the different modes are derived. The nonlinearity is weak and the modes may have complex frequencies from the linearized problem describing either the stable or the unstable situation. Energy conservation is discussed for this model as well as other general properties. Resonant three-wave interaction and some other special cases are also discussed (like higher order wave-correlation functions as well as description of spatially inhomogeneous turbulence).
Mathematics Subject Classification ID: 76Fxx
Mathematics Subject Classification ID: 82D15
zbMATH DE Number: 3908024
zbMATH Keywords: Bogoljubov expansion method
zbMATH Keywords: weak homogeneous turbulence formulations
zbMATH Keywords: wave-correlation functions
zbMATH Keywords: Energy conservation
zbMATH Keywords: Resonant three-wave interaction
zbMATH Keywords: higher order wave-correlation functions
zbMATH Keywords: spatially inhomogeneous turbulence
reviewed by: Shlomo Carmi
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00656113
OpenAlex ID: W2086396275
description: scientific article; zbMATH DE number 3908024