Vortex Dynamics on a Cylinder

DOI10.1137/S1111111102415569zbMath1088.37026arXivmath/0210028OpenAlexW2052328031MaRDI QIDQ4441838

Anik Soulière, Tadashi Tokieda, James A. Montaldi

Publication date: 8 January 2004

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210028

zbMATH Keywords

conservation lawsHamiltonian systems with symmetrypoint vorticesgeometric mechanics

Mathematics Subject Classification ID

Related Items (19)

Vortices on Closed Surfaces ⋮ \(N\)-body dynamics on an infinite cylinder: the topological signature in the dynamics ⋮ Point vortex dynamics on Kähler twistor spaces ⋮ Limit cycles of polynomial differential systems of degree 1 and 2 on the cylinder ⋮ Relative periodic solutions of the \(N\)-vortex problem via the variational method ⋮ Dynamics of poles with position-dependent strengths and its optical analogues ⋮ Continuous singularities in Hamiltonian relative equilibria with abelian momentum isotropy ⋮ Relative equilibria of singly periodic point vortex arrays ⋮ Relative equilibria of point vortices on the hyperbolic sphere ⋮ Continuous parametric families of stationary and translating periodic point vortex configurations ⋮ Point vortices on hyperbolic sphere ⋮ On relative equilibria and integrable dynamics of point vortices in periodic domains ⋮ Toroidal geometry stabilizing a latitudinal ring of point vortices on a torus ⋮ The \(n\)-vortex problem on a Riemann sphere ⋮ Symplectic group actions and covering spaces ⋮ Generalized point vortex dynamics on \(\mathbb{CP}^2\) ⋮ A vortex ring on a sphere: the case of total vorticity equal to zero ⋮ Steady interaction of a vortex street with a shear flow ⋮ Mathematical justification of the point vortex dynamics in background fields on surfaces as an Euler-Arnold flow

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