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New Developments and Cosine Effect in the Viscous Shallow Water and Quasi-Geostrophic Equations

Carine Lucas 1 Antoine Rousseau 1
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology
Abstract : The viscous Shallow Water Equations and Quasi-Geostrophic Equations are considered in this paper. Some new terms, related to the Coriolis force, are revealed thanks to a rigorous asymptotic analysis. After providing well-posedness arguments for the new models, the authors perform some numerical computations that confirm the role played by the cosine effect in various physical configurations.
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https://hal.inria.fr/inria-00180921
Contributor : Antoine Rousseau Connect in order to contact the contributor
Submitted on : Monday, April 14, 2008 - 9:27:43 PM
Last modification on : Tuesday, October 19, 2021 - 11:12:56 PM
Long-term archiving on: : Friday, November 25, 2016 - 10:20:29 PM

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RR-6330.pdf
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  • HAL Id : inria-00180921, version 3

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Carine Lucas, Antoine Rousseau. New Developments and Cosine Effect in the Viscous Shallow Water and Quasi-Geostrophic Equations. [Research Report] RR-6330, 2007. ⟨inria-00180921v3⟩

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