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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. 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 > Mathematics |
| Journal or Publication Title: | Nonlinearity |
| Publisher: | Institute of Physics Publishing Ltd. |
| ISSN: | 0951-7715 |
| Date: | February 2012 |
| Volume: | Vol.25 |
| Number: | No.2 |
| Number of Pages: | 14 |
| Page Range: | pp. 329-342 |
| Identification Number: | 10.1088/0951-7715/25/2/329 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/42158 |
Data sourced from Thomson Reuters' Web of Knowledge
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