\(N\)-vortex equilibrium theory

DOI10.3934/dcds.2007.19.411zbMath1220.76020OpenAlexW2019719616MaRDI QIDQ2467071

Paul K. Newton

Publication date: 18 January 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2007.19.411

zbMATH Keywords

relative equilibriasingular value decompositionHamiltonian systemspoint vortex equilibriaKelvin's variational principle.optimal approximate equilibria

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Particle methods and lattice-gas methods (76M28) Dynamical systems approach to turbulence (76F20)

Related Items (4)

Burst of point vortices and non-uniqueness of 2D Euler equations ⋮ Equilibria for the \(N\)-vortex-problem in a general bounded domain ⋮ Point vortices on hyperbolic sphere ⋮ \(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations

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