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 $\eps$, the primitive equations of the ocean (OPEs) can be approximated by ``higher-order quasi-geostrophic equations'' up to an exponential accuracy in $\eps$. This approximation assumes well-prepared initial data and is valid for a timescale of order one (independent of $\eps$). 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://www.aimsciences.org/journals/pdfs.jsp?paperID=2142&mode=abstract|
|Record Created:||29 Feb 2008|
|Last Modified:||08 Apr 2009 16:30|
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