On the existence of stationary patches

Javier Gómez-Serrano

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


In this paper, we show the existence of the first nontrivial family of analytic stationary patch solutions of the SQG and gSQG equations. This answers an open problem in F. de la Hoz et al. (2016) [13].

Original languageEnglish (US)
Pages (from-to)110-140
Number of pages31
JournalAdvances in Mathematics
StatePublished - Feb 5 2019

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • Bifurcation theory
  • Incompressible
  • Patch
  • Stationary
  • Surface quasi-geostrophic


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