Construction of point vortex equilibria via Brownian ratchets

DOI10.1098/rspa.2007.1832zbMath1347.76014OpenAlexW2172066699MaRDI QIDQ5438842

George Chamoun, Paul K. Newton

Publication date: 8 February 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2007.1832

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (11)

Force-enhancing vortex equilibria for two parallel plates in uniform flow ⋮ Relative equilibria in the four-vortex problem with two pairs of equal vorticities ⋮ Point vortex dynamics: A classical mathematics playground ⋮ A computational theory for spiral point vortices in multiply connected domains with slit boundaries ⋮ Point vortex equilibria on the sphere via Brownian ratchets ⋮ Spectral gradient flow and equilibrium configurations of point vortices ⋮ On the uniqueness of the isosceles trapezoidal central configuration in the 4-body problem for power-law potentials ⋮ Linear feedback stabilization of point-vortex equilibria near a Kasper wing ⋮ Existence, Stability, and Symmetry of Relative Equilibria with a Dominant Vortex ⋮ Vortex crystals on the surface of a torus ⋮ Rotating equilibria of vortex sheets

Uses Software

• Eigtool

Cites Work

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• Mathematical theory of incompressible nonviscous fluids
• Rotating \(n\)-gon/\(kn\)-gon vortex configurations
• Point vortex motions with a center of symmetry
• The N -vortex problem on a rotating sphere. II. Heterogeneous Platonic solid equilibria
• Experiments on two-dimensional vortex patterns
• VORTICES IN MULTICOMPONENT BOSE–EINSTEIN CONDENSATES
• The \(N\)-vortex problem. Analytical techniques
• Brownian motors: noisy transport far from equilibrium

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