The spine of an SQG almost-sharp front

Charles Fefferman, Garving Luli, Jose Rodrigo

Research output: Contribution to journalArticle

3 Scopus citations

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 δ, then we prove that the spine satisfies its own evolution equation (equal to the sharp-front equation) modulo errors O(δ 2|logδ|).

Original languageEnglish (US)
Pages (from-to)329-342
Number of pages14
JournalNonlinearity
Volume25
Issue number2
DOIs
StatePublished - Feb 1 2012

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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