Stability of new relative equilibria of the system of three point vortices in a circular domain

MaRDI QIDQ6654176

I. S. Mamaev, A. V. Vas'kina, A. V. Borisov

Publication date: 18 December 2024

Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)

zbMATH Keywords

stabilityperiodic solutionsreductionpoint vortexbifurcational diagramrelative equilibriums

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Vortex methods applied to problems in fluid mechanics (76M23)

Cites Work

• Title not available (Why is that?)
• The stability of motion of rectilinear vortices in ring formation.
• Dissipative \(N\)-point-vortex models in the plane
• On the problem of motion of vortex sources on a plane
• Dynamics of two point vortices in a cylindrical domain
• A treatise on the motion of vortex rings.
• Plane vortex motion.
• Periodic motion of two and four vortices in a cylindrical pipe
• Statistical mechanics of strong and weak point vortices in a cylinder
• Finiteness of stationary configurations of the four-vortex problem
• Über Integrale der hydrodynamischen Gleichungen, welche den Wirbelbewegungen entsprechen.
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• On the Motion of Vortices in Two Dimensions

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