Boundary Regularity of Rotating Vortex Patches

Taoufik Hmidi, Joan Mateu, Joan Verdera

Research output: Contribution to journalArticlepeer-review


We show that the boundary of a rotating vortex patch (or V-state, in the terminology of Deem and Zabusky) is C , provided the patch is close to the bifurcation circle in the Lipschitz norm. The rotating patch is also convex if it is close to the bifurcation circle in the C 2 norm. Our proof is based on Burbea's approach to V-states.

Original languageEnglish (US)
Pages (from-to)171-208
Number of pages38
JournalArchive for Rational Mechanics and Analysis
Issue number1
StatePublished - Jul 2013

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering


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