Stability of the slow manifold in the primitive equations

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dc.creatorTemam, R.
dc.creatorWirosoetisno, D.
dc.date2008-08-21
dc.date.accessioned2026-07-07T09:57:40Z
dc.date.available2026-07-07T09:57:40Z
dc.descriptionWe 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, component in the small Rossby number limit as $t\to\infty$. At leading order, the solution approaches what is known as "geostrophic balance" even under ageostrophic, slowly time-dependent forcing. Higher-order results can be obtained if one further assumes that the forcing is time-independent and sufficiently smooth. If the forcing lies in some Gevrey space, the solution will be exponentially close to a finite-dimensional "slow manifold" after some time.
dc.identifierhttps://arxiv.org/abs/0808.2878
dc.identifierhttp://arxiv.org/abs/0808.2878
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167429
dc.subjectAnalysis of PDEs
dc.subject35B40; 37L25; 76U05
dc.titleStability of the slow manifold in the primitive equations
dc.typetext

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