Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface

DOI10.1134/S1560354710040040zbMath1258.76050OpenAlexW2011472567MaRDI QIDQ618226

Ivan. S. Mamaev, S. M. Ramodanov, Alexey V. Borisov

Publication date: 14 January 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354710040040

zbMATH Keywords

integrabilityequations of motioncoupled body-vortex systemhydrodynamics on a spheremass vortex

Mathematics Subject Classification ID

Related Items (4)

Bifurcation analysis of the motion of a cylinder and a point vortex in an ideal fluid ⋮ Hydrodynamic vortex on surfaces ⋮ Vortex on surfaces and Brownian motion in higher dimensions: special metrics ⋮ The motion of a vortex on a closed surface of constant negative curvature

Cites Work

• Unnamed Item
• Unnamed Item
• An unsteady point vortex method for coupled fluid-solid problems
• Interaction between Kirchhoff vortices and point vortices in an ideal fluid
• Basic principles and models of dynamic advection
• Integrability of the problem of the motion of a cylinder and a vortex in an ideal fluid
• On the problem of motion of vortex sources on a plane
• Hamiltonian structure for a neutrally buoyant rigid body interacting with \(N\) vortex rings of arbitrary shape: The case of arbitrary smooth body shape
• Dynamics of vorticity at a sphere
• Dynamics and statics of vortices on a plane and a sphere. I
• The Volterra lattice as a gradient flow
• Dynamics of three vortices on a plane and a sphere. II: General compact case
• On the motion of two-dimensional vortices with mass
• An integrability of the problem on motion of cylinder and vortex in the ideal fluid
• Two-body problem on a sphere. Reduction, stochasticity, periodic orbits
• Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov
• Motion of three point vortices on a sphere
• The geometry and dynamics of interacting rigid bodies and point vortices
• Dynamics of two interacting circular cylinders in perfect fluids
• Vortices on Closed Surfaces
• On the motion of a heavy rigid body in an ideal fluid with circulation
• Point vortex motion on a sphere with solid boundaries
• The N-vortex problem on a symmetric ellipsoid: A perturbation approach
• Stability of streets of vortices on surfaces of revolution with a reflection symmetry
• Vortex motion on surfaces with constant curvature
• The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices
• Point vortex motion on the surface of a sphere with impenetrable boundaries
• Motion of a circular cylinder and \(n\) point vortices in a perfect fluid
• The \(N\)-vortex problem. Analytical techniques
• Motion of a circular cylinder and a vortex in an ideal fluid
• Motion of a circular cylinder and \(n\) point vortices in a perfect fluid

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