Exponential decay rate of the power spectrum for solutions of the Navier–Stokes equations

Using a method developed by Foias and Temam [J. Funct. Anal. 87, 359 (1989)], exponential decay of the spatial Fourier power spectrum for solutions of the incompressible Navier–Stokes equations is established and explicit rigorous lower bounds on a small length scale defined by the exponential decay...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 7; no. 6; pp. 1384 - 1390
Main Authors Doering, Charles R., Titi, Edriss S.
Format Journal Article
LanguageEnglish
Published 01.06.1995
Subjects
NAVIER−STOKES EQUATIONS
FUNCTIONAL ANALYSIS
VISCOUS FLOW
INCOMPRESSIBLE FLOW
SINGULARITY
ENERGY LOSSES
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Summary:Using a method developed by Foias and Temam [J. Funct. Anal. 87, 359 (1989)], exponential decay of the spatial Fourier power spectrum for solutions of the incompressible Navier–Stokes equations is established and explicit rigorous lower bounds on a small length scale defined by the exponential decay rate are obtained.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.868526