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A free-boundary problem for Euler flows with constant vorticity on the sphere

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Publication:1635618
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DOI10.1016/j.jmaa.2018.05.040zbMath1392.35217OpenAlexW2803791601MaRDI QIDQ1635618

Sun-Chul Kim

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.05.040


zbMATH Keywords

stereographic projectionargument principlevortex patchEuler flow on the sphere


Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Free boundary problems for PDEs (35R35) Euler equations (35Q31)




Cites Work

  • Unnamed Item
  • A free-boundary problem for Euler flows with constant vorticity
  • Prandtl–Batchelor flows revisited
  • Analytical solutions for distributed multipolar vortex equilibria on a sphere
  • On Prandtl--Batchelor Theory of a Cylindrical Eddy: Asymptotic Study
  • Wave and vortex dynamics on the surface of a sphere
  • The \(N\)-vortex problem. Analytical techniques


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