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Rapport (Rapport De Recherche) Année : 2011

On the quasi-hydrostatic quasi-geostrophic model

Résumé

This paper introduces a rigorous derivation of the quasi-geostrophic (QG) equations of large scale ocean as the Rossby number goes to zero. We follow classical techniques for the derivation (as in [BB94]), but the primitive equations that we consider account for all the rotating terms, as in [LPR10]. We end up with a slightly different QG model with a tilted vertical direction, which has been illustrated in previous works (see [SHE04, WB06, GZMvH08]).
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Dates et versions

hal-01232740 , version 1 (10-02-2011)
hal-01232740 , version 2 (11-02-2011)
hal-01232740 , version 3 (18-04-2011)
hal-01232740 , version 4 (25-03-2015)
hal-01232740 , version 5 (24-11-2015)
hal-01232740 , version 6 (01-06-2016)
hal-01232740 , version 7 (27-01-2017)

Identifiants

  • HAL Id : hal-01232740 , version 1

Citer

Antoine Rousseau, James C. Mcwilliams. On the quasi-hydrostatic quasi-geostrophic model. [Research Report] RR-7531, 2011, pp.9. ⟨hal-01232740v1⟩

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