On the integrability and perturbation of three-dimensional fluid flows with symmetry

DOI10.1007/BF02430631zbMath0796.76021OpenAlexW1997260956MaRDI QIDQ1321623

Publication date: 4 October 1994

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

Full work available at URL: https://doi.org/10.1007/bf02430631

zbMATH Keywords

KAM theory infinitesimal generator particle paths Melnikov's method Clebsch variables action-angle-angle coordinates one-parameter symmetry group volume-preserving symmetry

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Incompressible inviscid fluids (76B99) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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Cites Work