On nontraditional quasi-geostrophic equations

Abstract : 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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https://hal.inria.fr/hal-01232740
Contributor : Antoine Rousseau <>
Submitted on : Tuesday, November 24, 2015 - 10:16:11 AM
Last modification on : Thursday, May 3, 2018 - 3:32:07 PM
Long-term archiving on : Friday, April 28, 2017 - 4:20:12 PM

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  • HAL Id : hal-01232740, version 1

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Carine Lucas, James C. Mcwilliams, Antoine Rousseau. On nontraditional quasi-geostrophic equations. 2015. ⟨hal-01232740v1⟩

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