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Journal Articles Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Year : 2008

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-00392886 , version 1 (09-06-2009)

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Carine Lucas, Antoine Rousseau. New Developments and Cosine Effect in the Viscous Shallow Water and Quasi-Geostrophic Equations. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2008, 7 (2), pp.796-813. ⟨10.1137/070705453⟩. ⟨inria-00392886⟩
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