Stability of the relative equilibrium of three vortex charges with zero total intensity

• Published in: Fluid dynamics Vol. 47; no. 4; pp. 465 - 475
• Main Authors: Gudimenko, A. I., Zakharenko, A. D.
• Format: Journal Article
• Language: English
• Published: Dordrecht SP MAIK Nauka/Interperiodica 01.07.2012
• Subjects: Approximation; Classical and Continuum Physics; Classical Mechanics; Engineering Fluid Dynamics; Fluid dynamics; Fluid flow; Fluid- and Aerodynamics; Fluids; Mathematical analysis; Physics; Physics and Astronomy; Rotating; Stability; Vortices; vortex charges; relative equilibrium; potential vortices; stability

The relative motion of three vortex charges with zero total intensity in a rotating baroclinic fluid is considered in the quasi-geostrophic approximation. The geometry and the linear stability of the relative equilibrium positions of the charges are analyzed. The motion parameter values are classifi...