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Spiral vortex solution of Birkhoff-Rott equation

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Publication:1263401
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DOI10.1016/0167-2789(89)90150-4zbMath0687.76020OpenAlexW1965596018MaRDI QIDQ1263401

K. Appert

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90150-4


zbMATH Keywords

Birkhoff- Rott equationdouble-branched vortex-sheetEvolution of a spiral vortex-sheetunbounded inviscid fluid


Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)


Related Items

A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution ⋮ Well-posedness of logarithmic spiral vortex sheets ⋮ Singularities in water waves and the Rayleigh–Taylor problem ⋮ Kinetic energy represented in terms of moments of vorticity and applications ⋮ The flow induced by Prandtl's self-similar vortex sheet spirals at infinite distance from the spiral kernel ⋮ A theorem on measures in dimension 2 and applications to vortex sheets



Cites Work

  • Unnamed Item
  • Diffraction of a weak shock with vortex generation
  • On a generalization of the concept of functions, II
  • Motion of three vortices
  • Aufwicklung einer unstabilen Unstetigkeitsfläche
  • Family of Similarity Flows with Vortex Sheets
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