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Existence and regularity results for the inviscid primitive equations with lateral periodicity

Autor: Hamouda, M., Jung, C. -Y., Temam, R.

The article is devoted to prove the existence and regularity of the solutions of the $3D$ inviscid Linearized Primitive Equations (LPEs) in a channel with lateral periodicity. This was assumed in a previous work \cite{HJT} which is concerned with the

Externí odkaz: http://arxiv.org/abs/1602.06551

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Stability of the slow manifold in the primitive equations

Autor: Temam, R., Wirosoetisno, D.

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, component in the small Rossby number limit as $t\to\infty$. At leading order,

Externí odkaz: http://arxiv.org/abs/0808.2878

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Exponential approximations for the primitive equations of the ocean

Autor: Temam, R., Wirosoetisno, D.

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

Externí odkaz: http://arxiv.org/abs/math/0608520

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