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Upper bounds on the number of determining modes, nodes, and volume elements for the Navier-Stokes equations. (English) Zbl 0796.35128

We present improved upper bounds on the number of determining Fourier modes, determining nodes and volume elements for the Navier-Stokes equations. The bounds presented here seem to agree with some of the heuristic physical estimates conjectured by Manley and Treve.

MSC:

35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids
76F99 Turbulence
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