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Exponential approximations for the primitive equations of the ocean.

Temam, R. M. and Wirosoetisno, D. (2007) 'Exponential approximations for the primitive equations of the ocean.', Discrete and continuous dynamical systems : series B., 7 (2). pp. 425-440.


We show that in the limit of small Rossby number \varepsilon, the primitive equations of the ocean (OPEs) can be approximated by "higher-order quasi-geostrophic equations'' up to an exponential accuracy in \varepsilon. This approximation assumes well-prepared initial data and is valid for a timescale of order one (independent of \varepsilon). Our construction uses Gevrey regularity of the OPEs and a classical method to bound errors in higher-order perturbation theory.

Item Type:Article
Keywords:Singular perturbation, Exponential asymptotics, Gevrey regularity, Primitive equations.
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Record Created:29 Feb 2008
Last Modified:20 Aug 2014 11:45

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