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math.AP2008
Stability of the slow manifold in the primitive equations
R. Temam, D. Wirosoetisno
We show that, under reasonably mild hypotheses, the solution of the forced--dissipative rotating primitive equations of the ocean loses most of its fast, inertia--gravity, componen…
math.AP2006
Exponential approximations for the primitive equations of the ocean
R. Temam, D. Wirosoetisno
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 ex…