Interaction of point and dipole vortices in an incompressible liquid

DOI10.1007/s11232-010-0030-6zbMath1425.76049OpenAlexW1972605710MaRDI QIDQ1956850

A. V. Tur, K. N. Kulik, Vladimir Yanovsky

Publication date: 24 September 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-010-0030-6

zbMATH Keywords

exact solutionHamiltonian formalismpoint vortexpoint dipole vortexregime of motiontwo-dimensional ideal hydrodynamics

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Viscous vortex flows (76D17)

Related Items (6)

The dynamics of vortex sources in a deformation flow ⋮ Vortex pairs and dipoles on closed surfaces ⋮ Dipole interactions in doubly periodic domains ⋮ How do singularities move in potential flow? ⋮ Well-posedness and long time behavior of singular Langevin stochastic differential equations ⋮ Pursuit and synchronization in hydrodynamic dipoles

Cites Work

• Singularities motion equations in 2-dimensional ideal hydrodynamics of incompressible fluid
• A class of exact multipolar vortices
• Point vortices with a rational necklace: New exact stationary solutions of the two-dimensional Euler equation
• The dynamics of three vortices revisited
• Statistical dynamics of two-dimensional flow
• Statistical mechanics of two-dimensional vortices in a bounded container
• Stirring by chaotic advection
• Vortex Dynamics
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