scientific article; zbMATH DE number 2120762

zbMath1065.37001MaRDI QIDQ4829875

Tsutomu Kambe

Publication date: 1 December 2004

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

dynamical systemsLie groupsintegrable systemsgauge theoryfield theoryRiemann geometryfluid flows

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Group structures and generalizations on infinite-dimensional manifolds (58B25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx)

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Identification of vortex cores of three-dimensional large-vortical structures ⋮ Numerical study on the incompressible Euler equations as a Hamiltonian system: Sectional curvature and Jacobi field ⋮ Generalized Euler-Poincaré equations on Lie groups and homogeneous spaces, orbit invariants and applications

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