Existence of corotating asymmetric vortex pairs for Euler equations

Zineb Hassainia, Taoufik Hmidi

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study the existence of co-rotating and counter-rotating unequal-sized pairs of simply connected patches for Euler equations. In particular, we prove the existence of curves of steadily co-rotating and counter-rotating asymmetric vortex pairs passing through a point vortex pairs with unequal circulations.
Original languageEnglish
JournalDiscrete and Continuous Dynamical Systems
StatePublished - Apr 5 2020

Keywords

  • math.AP
  • 35Q35, 76B03, 76C05

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