Steady point vortex pair in a field of Stuart-type vorticity

DOI10.1017/jfm.2019.502zbMath1419.76105OpenAlexW2959697468MaRDI QIDQ5229741

Vikas S. Krishnamurthy, Adrian Constantin, Miles H. Wheeler, Darren G. Crowdy

Publication date: 19 August 2019

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/71637

zbMATH Keywords

vortex dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Gas dynamics (general theory) (76N15)

Related Items (7)

Quantized point vortex equilibria in a one-way interaction model with a Liouville-type background vorticity on a curved torus ⋮ Liouville links and chains on the plane and associated stationary point vortex equilibria ⋮ Stuart vortices on a hyperbolic sphere ⋮ The \(N\)-vortex problem in a doubly periodic rectangular domain with constant background vorticity ⋮ Free rings of bouncing droplets: stability and dynamics ⋮ A transformation between stationary point vortex equilibria ⋮ Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation

Cites Work

• General solutions to the 2D Liouville equation
• Vortex structures with complex points singularities in two-dimensional Euler equations. New exact solutions
• Minimal polynomial systems for point vortex equilibria
• Convergence of the point vortex method for the 2-D euler equations
• Vortices on a cylinder
• Polygonal N-vortex arrays: A Stuart model
• Point vortices with a rational necklace: New exact stationary solutions of the two-dimensional Euler equation
• A row of counter-rotating vortices
• On the onset of three-dimensionality in mixing layers
• Equilibrium of charges and differential equations solved by polynomials
• Structure and stability of the compressible Stuart vortex
• On steady compressible flows with compact vorticity; the compressible Stuart vortex
• Stuart vortices on a sphere
• Exact solution to a Liouville equation with Stuart vortex distribution on the surface of a torus
• Stuart-type vortices on a rotating sphere
• Vortex Dynamics
• On finite amplitude oscillations in laminar mixing layers
• The \(N\)-vortex problem. Analytical techniques

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