On the motion of two-dimensional vortices with mass

DOI10.1007/BF02430639zbMath0808.76015OpenAlexW2061228257WikidataQ121450441 ScholiaQ121450441MaRDI QIDQ1337098

V. Pereyra

Publication date: 21 March 1995

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02430639

zbMATH Keywords

singular perturbationsimpuritiessymmetriesplanar motiontransversal homoclinic orbitsintegrable caseHelmholtz-Kirchhoff equationsinertia-type termnonintegrable case

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Vortex flows for incompressible inviscid fluids (76B47) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Nonintegrability of some Hamiltonian systems, scattering and analytic continuation, Non-integrability of the problem of motion around an oblate planet, Vortices on Closed Surfaces, Interaction of two charges in a uniform magnetic field. II: Spatial problem, Hydrodynamic vortex on surfaces, Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface, Symmetric pairs of point vortices interacting with a neutrally buoyant two-dimensional circular cylinder, How do singularities move in potential flow?, On the motion of a small body immersed in a two-dimensional incompressible perfect fluid, On symplectic dynamics near a homoclinic orbit to 1-elliptic fixed point, The centroid-deformation decomposition for buoyant vortex patch motion, Vortex motion and geometric function theory: the role of connections, Chaos and integrability in a nonlinear wave equation, On the dynamics of rigid bodies in an incompressible fluid

Uses Software

• IMSL Numerical Libraries

Cites Work

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