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The spine of an SQG almost-sharp front
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Fefferman, Charles, Luli, Garving and Rodrigo, Jose (2012) The spine of an SQG almost-sharp front. Nonlinearity, Vol.25 (No.2). pp. 329-342. doi:10.1088/0951-7715/25/2/329 ISSN 0951-7715.
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Official URL: http://dx.doi.org/10.1088/0951-7715/25/2/329
Abstract
We study solutions of the surface quasi-geostrophic (SQG) equation which are locally constant outside a thin neighbourhood of a curve that evolves with time. To such an SQG solution we associate a distinguished curve (the 'spine'). If the above thin neighbourhood has thickness delta, then we prove that the spine satisfies its own evolution equation (equal to the sharp-front equation) modulo errors O(delta(2) | log delta|).
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Nonlinearity | ||||
| Publisher: | Institute of Physics Publishing Ltd. | ||||
| ISSN: | 0951-7715 | ||||
| Official Date: | February 2012 | ||||
| Dates: |
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| Volume: | Vol.25 | ||||
| Number: | No.2 | ||||
| Number of Pages: | 14 | ||||
| Page Range: | pp. 329-342 | ||||
| DOI: | 10.1088/0951-7715/25/2/329 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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