Exponential approximations for the primitive equations of the ocean

Details Exponential approximations for the primitive equations of the ocean Exponential approximations for the primitive equations of the ocean

2006-08-21

arxiv.org/abs/math/0608520v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Exponential approximations for the primitive equations of the ocean does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exponential approximations for the primitive equations of the ocean, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exponential approximations for the primitive equations of the ocean will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-666801