## 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 |
---|---|

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 |