Geometrical theory of fluid flows and dynamical systems

Fluid Dynamics Research

Volumn 30, Issue 6, 2002, Pages 331-378

  Kambe, Tsutomu ^a  

^a Institute of Dynamical Systems   (Japan)

Author keywords

Dynamical systems; Fluid flows; Geodesic equation; Geometrical theory; Jacobi equation; Lie algebra; Lie group; Riemannian curvatures

Indexed keywords

AXIAL FLOW; INCOMPRESSIBLE FLOW; VORTEX FLOW;

GROUP TRANSFORMATIONS;

FLOW OF FLUIDS;

CURVATURE; DYNAMICAL SYSTEM; FLUID FLOW; GEODESIC REFERENCE SYSTEM; GEOMETRY;

EID: 0036602002     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-5983(02)00063-1     Document Type: Article

References (33)

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4. Geometrical description of chaos in two-degrees-of-freedom Hamiltonian systems
5. Dynamical trajectories and geodesics
6. Three-dimensional distortions of a vortex filament with axial velocity
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8. Kinematical instability and line-stretching in relation to the geodesics of fluid motion
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12. Poisson geometry of the filament equation
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14. Conjugate points in the Bott-Virasoro group and the KdV equation
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18. 1, SO(3))'
19. Geometrical analysis of free rotation of a rigid body
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21. On the structure of phase-space, Hamiltonian variables and statistical approach to the description of two-dimensional hydrodynamics and magnetohydrodynamics