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.
Complete list of metadatas

https://hal.inria.fr/hal-01232740
Contributor : Antoine Rousseau <>
Submitted on : Wednesday, June 1, 2016 - 8:10:43 PM
Last modification on : Wednesday, August 7, 2019 - 12:14:40 PM

File

NonTraditionalModels-M2AN.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01232740, version 2

Citation

Carine Lucas, James C. Mcwilliams, Antoine Rousseau. On nontraditional quasi-geostrophic equations. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2016. ⟨hal-01232740v2⟩

Share

Metrics

Record views

144

Files downloads

108