N-particle dynamics of the Euler equations for planar diffeomorphisms

DOI10.1080/14689360701191931zbMath1149.37038arXivnlin/0512030OpenAlexW2066549599WikidataQ126002797 ScholiaQ126002797MaRDI QIDQ3534031

Stephen Marsland, Robert I. Mclachlan

Publication date: 3 November 2008

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0512030

zbMATH Keywords

kerneldipolesblobs2 body problemcapturing orbitsdynamics of \(N\) point particlesgroup of diffeomorphisms of the plane in a variety of different metrics

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Two-body problems (70F05) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

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Cites Work

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• Vortex methods for flow simulation
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Groups of diffeomorphisms and the motion of an incompressible fluid
• THE VORTEX BLOB METHOD AS A SECOND-GRADE NON-NEWTONIAN FLUID
• On a Completely Integrable Numerical Scheme for a Nonlinear Shallow-Water Wave Equation

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