The spine of an SQG almost-sharp front
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 0951-7715Full text not available from this repository.
Official URL: http://dx.doi.org/10.1088/0951-7715/25/2/329
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.|
|Official Date:||February 2012|
|Number of Pages:||14|
|Page Range:||pp. 329-342|
|Access rights to Published version:||Restricted or Subscription Access|
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