New Developments and Cosine Effect in the Viscous Shallow Water and Quasi-Geostrophic Equations - Archive ouverte HAL Access content directly
Reports (Research Report) Year : 2007

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

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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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Dates and versions

inria-00180921 , version 1 (22-10-2007)
inria-00180921 , version 2 (24-10-2007)
inria-00180921 , version 3 (14-04-2008)
inria-00180921 , version 4 (12-12-2008)

Identifiers

  • HAL Id : inria-00180921 , version 4

Cite

Carine Lucas, Antoine Rousseau. New Developments and Cosine Effect in the Viscous Shallow Water and Quasi-Geostrophic Equations. [Research Report] RR-6330, INRIA. 2007. ⟨inria-00180921v4⟩
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