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

Journal Article · Thu Jun 01 04:00:00 EDT 1995 · Physics of Fluids (1994)

DOI:https://doi.org/10.1063/1.868526· OSTI ID:46429

Doering, C R ^[1]; Titi, E S ^[2]

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1. Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 and Department of Physics, Clarkson University, Potsdam, New York 13699-5820 (United States)
2. Department of Mathematics and Department of Mechanical & Aerospace Engineering, University of California, Irvine, California 92717-3875 (United States)

Using a method developed by Foias and Temam [J. Funct. Anal. {bold 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.

• OSTI ID: 46429
• Journal Information: Physics of Fluids (1994), Journal Name: Physics of Fluids (1994) Journal Issue: 6 Vol. 7; ISSN PHFLE6; ISSN 1070-6631
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ENERGY LOSSES
FOURIER ANALYSIS
FUNCTIONAL ANALYSIS
INCOMPRESSIBLE FLOW
NAVIER-STOKES EQUATIONS
SINGULARITY
VISCOUS FLOW