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Fast Wave Averaging for the Equatorial Shallow Water Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dutrifoy, Alexandre Majda, Andrew |
| Copyright Year | 2006 |
| Abstract | The equatorial shallow water equations in a suitable limit are shown to reduce to zonal jets as the Froude number tends to zero. This is a theorem of a singular limit with a fast variable coefficient due to the vanishing of the Coriolis force at the equator. Although it is not possible to get uniform estimates in classical Sobolev spaces (other than L) by differentiating the system, a new method exploiting the particular structure of the fast coefficient leads to uniform estimates in slightly different functional spaces. The computation of resonances shows that fast waves may interact with a strong external forcing, introduced to mimic the effects of moisture, to create zonal jets. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.nyu.edu/faculty/majda/pdfFiles/CPDE%202007%20Majda%20Dutrifoy%20Fast%20Wave.pdf |
| Alternate Webpage(s) | https://dipot.ulb.ac.be/dspace/bitstream/2013/52617/1/Dutrifoy_Majda-CPDE-06-04-02.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Coefficient Computation (action) Estimated Fast Fourier transform Navier–Stokes equations Singular |
| Content Type | Text |
| Resource Type | Article |
