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Pré-Publication, Document De Travail Année : 2015

On nontraditional quasi-geostrophic equations

Résumé

In this article, we work on nontraditional models where the so-called traditional approximation on the Coriolis force is removed. In the derivation of the quasi-geostrophic equations, we obtain new terms in δ/ε, where δ (aspect ratio) and ε (Rossby number) are both small numbers. We provide here some rigorous crossed-asymptotics with regards to these parameters , prove some mathematical and physical results on the nontraditional models, and situate them among traditional ones.
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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 5

Citer

Carine Lucas, James C. Mcwilliams, Antoine Rousseau. On nontraditional quasi-geostrophic equations. 2015. ⟨hal-01232740v5⟩
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