Energy transfer for the Burgers’ equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1978 English Publisher:AIP PublishingJournal:The Physics of Fluids, volume 21, pages 1,694-1,697 (issn: 0031-9171,

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Authors: Rosenblatt, M.;

doi: 10.1063/1.862109

Energy transfer for the Burgers’ equation

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Abstract

The Burgers’ equation is considered as a simple nonlinear model equation in which to investigate energy transfer in the wavenumber domain. Spatially stationary (on the real line) random solutions are considered. The first-order nonlinear term for large time relating the spectrum and bispectrum (Fourier transform of third-order moments) of the random solution is determined. This nonlinear term is obtained by making use of the Hopf solution of the Burgers’ equation.

Related Organizations

University of California, San Diego
United States

Keywords

Incompressible viscous fluids, Turbulence, Energy Transfer, Hopf Solution, Burgers' Equation, Random Solution, Bispectrum of The Solution

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