Far-field perturbations of vortex patches

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Abstract

In this paper I investigate the dynamics of vortex patches in the Yudovitch phase space. I derive an approximation for the evolution of the vorticity in the case of nested vortex patches with distant boundaries, and study its long-time behaviour.

Original languageEnglish (US)
Article number20140277
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume373
Issue number2050
DOIs
StatePublished - Sep 13 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Keywords

  • Euler equations
  • Instability
  • Long-time behaviour
  • Vortex patches

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