The stability of stationary rotation of a regular vortex polygon
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Publication:5706313
DOI10.1063/1.1482175zbMath1080.76520OpenAlexW2026238320WikidataQ52015576 ScholiaQ52015576MaRDI QIDQ5706313
Victor Yudovich, Leonid G. Kurakin
Publication date: 7 November 2005
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1482175
Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Rotation in hydrodynamic stability (76E07)
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Cites Work
- Relative equilibria in Hamiltonian systems: The dynamic interpretation of nonlinear stability on a reduced phase space
- Reduction of symplectic manifolds with symmetry
- Stability of relative equilibria. I: The reduced energy-momentum method
- Rotating \(n\)-gon/\(kn\)-gon vortex configurations
- On a property of the first approximation system
- Experiments on two-dimensional vortex patterns
- Stability of body-centered polygonal configurations of ideal vortices
- On the equilibrium and stability of a row of point vortices
- Stability of Relative Equilibria in the Problem of N+1 Vortices
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