Exponential approximations for the primitive equations of the ocean

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dc.creatorTemam, R.
dc.creatorWirosoetisno, D.
dc.date2006-08-21
dc.date.accessioned2026-07-07T07:22:00Z
dc.date.available2026-07-07T07:22:00Z
dc.descriptionWe 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0608520
dc.identifierhttp://arxiv.org/abs/math/0608520
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115503
dc.subjectAnalysis of PDEs
dc.subject35B25; 76U05
dc.titleExponential approximations for the primitive equations of the ocean
dc.typetext

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