On the stability of a system of two identical point vortices and a cylinder

DOI10.1134/S008154382005003XzbMath1459.76055OpenAlexW3111088346MaRDI QIDQ2214278

Alexey V. Borisov, Leonid G. Kurakin

Publication date: 8 December 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154382005003x

zbMATH Keywords

linear stabilityHamiltoniannonlinear stabilityideal fluidcylinder added mass

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (2)

On the Stability of the System of Thomson’s Vortex $n$-Gon and a Moving Circular Cylinder ⋮ Dynamics of a circular cylinder and two point vortices in a perfect fluid

Cites Work

• On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid
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• Nonlinear stability analysis of a regular vortex pentagon outside a circle
• On stability of the Thomson's vortex \(N\)-gon in the geostrophic model of the point vortices in two-layer fluid
• Dynamic interaction of point vortices and a two-dimensional cylinder
• On the Stability of Thomson’s Vortex $N$-gon and a Vortex Tripole/Quadrupole in Geostrophic Models of Bessel Vortices and in a Two-Layer Rotating Fluid: a Review
• Vortex Dynamics
• The stability of stationary rotation of a regular vortex polygon
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