Doubly connected V-states for the planar euler equations

Francisco De La Hoz, Taoufik Hmidi, Joan Mateu, Joan Verdera

Research output: Contribution to journalArticlepeer-review


We prove existence of doubly connected V-states for the planar Euler equations which are not annuli. The proof proceeds by bifurcation from annuli at simple eigenvalues. The bifurcated V-states we obtain enjoy an m-fold symmetry for some m ≥ 3.

Original languageEnglish (US)
Pages (from-to)1892-1928
Number of pages37
JournalSIAM Journal on Mathematical Analysis
Issue number3
StatePublished - 2016


  • Bifurcation theory
  • Doubly connected V-states
  • Euler equations

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics


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