| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8256216 | Physica D: Nonlinear Phenomena | 2018 | 21 Pages |
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 weak global attractor. The bound is compared to Kolmogorov's dissipation wavenumber and the Grashof constant.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Alexey Cheskidov, Mimi Dai, Landon Kavlie,