Universal Bounds for the Littlewood-Paley First-Order Moments of the 3D Navier-Stokes Equations |
| |
| Authors: | Felix Otto Fabio Ramos |
| |
| Affiliation: | 1. Institute of Applied Mathematics, University of Bonn, Bonn, 53115, Germany
2. Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot, 76100, Israel
|
| |
| Abstract: | We derive upper bounds for the infinite-time and space average of the L 1-norm of the Littlewood-Paley decomposition of weak solutions of the 3D periodic Navier-Stokes equations. The result suggests that the Kolmogorov characteristic velocity scaling, Uk ~ e1/3 k-1/3{mathbf{U}_kappasimepsilon^{1/3} kappa^{-1/3}} , holds as an upper bound for a region of wavenumbers near the dissipative cutoff. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
