arXiv:1507.05908 Abstract | arXiv Analytics

arXiv:1507.05908 [math.AP]Abstract References Reviews Resources

Determining modes for the 3D Navier-Stokes equations

Alexey Cheskidov, Mimi Dai, Landon Kavlie

Published 2015-07-21Version 1

We introduce a determining wavenumber for the forced 3D Navier-Stokes equations (NSE) defined for each individual solution. Even though this wavenumber blows up if the solution blows up, its time average is uniformly bounded for all solutions on the global attractor. The bound is compared to Kolmogorov's dissipation wavenumber and the Grashof constant.

Comments: 15 pages

Categories: math.AP

Subjects: 35Q35, 37L30

Keywords: determining modes, forced 3d navier-stokes equations, kolmogorovs dissipation wavenumber, grashof constant, wavenumber blows

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