Determining modes for the 3D Navier-Stokes equations
Analysis of PDEs
2021-06-30 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1507.05908,
title = {Determining modes for the 3D Navier-Stokes equations},
author = {Alexey Cheskidov and Mimi Dai and Landon Kavlie},
journal= {arXiv preprint arXiv:1507.05908},
year = {2021}
}
Comments
19 pages