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Exponential approximations for the primitive equations of the ocean

R. Temam·D. Wirosoetisno
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Abstract

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.

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R. Temam, D. Wirosoetisno. 2006-08-21. Exponential approximations for the primitive equations of the ocean. https://arxiv.org/abs/math/0608520

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