Abstract
this Letter we obtain the dissipative length scale for the Navier-Stokes equations on a two-dimensional rotating sphere S-2. This system is a fundamental model of the large scale atmospheric dynamics. Using the equations of motion in their vorticity form, we construct the ladder inequalities from which a set of time-averaged length scales is obtained.
Translated title of the contribution | Length scales for the Navier-Stokes equations on a rotating sphere |
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Original language | English |
Pages (from-to) | 179 - 184 |
Number of pages | 6 |
Journal | Physics Letters A |
Volume | 324 (2-3) |
DOIs | |
Publication status | Published - Apr 2004 |