EXPONENTIAL DECAY-RATE OF THE POWER SPECTRUM FOR SOLUTIONS OF THE NAVIER-STOKES EQUATIONS
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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. 1995 American Institute of Physics.