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Bilinear relative equilibria of identical point vortices

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Publication:1928242
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DOI10.1007/s00332-012-9129-2zbMath1254.76041OpenAlexW1965918809WikidataQ61634715 ScholiaQ61634715MaRDI QIDQ1928242

Hassan Aref, Beelen, Peter, Morten Brøns

Publication date: 2 January 2013

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-012-9129-2


zbMATH Keywords

relative equilibriavortex dynamicspolynomialspoint vorticesideal fluids


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Vortex flows for incompressible inviscid fluids (76B47) Sturm-Liouville theory (34B24) Ordinary differential equations in the complex domain (34M99)


Related Items (1)

Point vortex equilibria related to Bessel polynomials



Cites Work

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  • Relative equilibrium and collapse configurations of four point vortices
  • Collapse and concentration of vortex sheets in two-dimensional flow
  • Minimal polynomial systems for point vortex equilibria
  • Vortex triple rings
  • Vortices and Polynomials
  • On the equilibrium and stability of a row of point vortices
  • Vortex Dynamics


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