Vortex motion and the geometric phase. I: Basic configurations and asymptotics

DOI10.1007/s003329900048zbMath0913.76016OpenAlexW2098389201MaRDI QIDQ1383269

Banavara N. Shashikanth, Paul K. Newton

Publication date: 4 May 1998

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

Full work available at URL: https://doi.org/10.1007/s003329900048

zbMATH Keywords

asymptotic proceduremixing layerthree-vortex problemHannay-Berry phaseinfinite row of point vorticesparticle and vortex in circular domainsubharmonic pairing

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Vortex flows for incompressible inviscid fluids (76B47) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (3)

Two-dimensional Euler flows in slowly deforming domains ⋮ Reconstruction phases in the planar three- and four-vortex problems ⋮ Geometric phases for corotating elliptical vortex patches

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