Remarks on geometric properties of SQG sharp fronts and α-patches

Angel Castro, Diego Córdoba, Javier Gómez-Serrano, Alberto Martín Zamora

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

Guided by numerical simulations, we present the proof of two results concerning the behaviour of SQG sharp fronts and α-patches. We establish that ellipses are not rotational solutions and we prove that initially convex interfaces may lose this property in finite time.

Original languageEnglish (US)
Pages (from-to)5045-5059
Number of pages15
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume34
Issue number12
DOIs
StatePublished - Dec 2014

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Keywords

  • Computer-assisted
  • Contour dynamics
  • Incompressible flow
  • Patches
  • Surface quasigeostrophic

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