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.
|Keywords:||Singular perturbation, Exponential asymptotics, Gevrey regularity, Primitive equations.|
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|Publisher Web site:||http://dx.doi.org/10.3934/dcdsb.2007.7.425|
|Record Created:||29 Feb 2008|
|Last Modified:||20 Aug 2014 11:45|
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