Integrability of the problem of the motion of a cylinder and a vortex in an ideal fluid

DOI10.1023/B:MATN.0000015018.63296.cezbMath1107.37046OpenAlexW2032181179MaRDI QIDQ869773

Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 9 March 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000015018.63296.ce

zbMATH Keywords

Poisson structurePoisson bracketCasimir functionideal fluidpoint vorticesmotion of a circular cylinder in an ideal fluid

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (4)

Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface ⋮ On the stability of a system of two identical point vortices and a cylinder ⋮ The classical Bertrand-Darboux problem ⋮ Bifurcations and Chaos in the Dynamics of Two Point Vortices in an Acoustic Wave

This page was built for publication: Integrability of the problem of the motion of a cylinder and a vortex in an ideal fluid