Numerical study on the incompressible Euler equations as a Hamiltonian system: Sectional curvature and Jacobi field
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Publication:3578589
DOI10.1063/1.3407673zbMath1190.76094OpenAlexW2066669193MaRDI QIDQ3578589
Publication date: 20 July 2010
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: http://eprints.whiterose.ac.uk/10965/1/Ohkitani_10965.pdf
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- Nonpositive curvature on the area-preserving diffeomorphism group
- On the volumorphism group, the first conjugate point is always the hardest
- Singular, weak and absent: Solutions of the Euler equations
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Topological methods in hydrodynamics
- For ideal fluids, Eulerian and Lagrangian instabilities are equivalent
- Singularities of the exponential map on the volume-preserving diffeomorphism group
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Hamiltonian description of the ideal fluid
- On the finite-time singularities of the 3D incompressible Euler equations
- The WKB method for conjugate points in the volumorphism group
- Curvature statistics of some few-body Debye-Huckel and Lennard-Jones systems
- The average Riemann curvature of conservative systems in classical mechanics
- Geodesics and curvature of a group of diffeomorphisms and motion of an ideal fluid
- Ideal magnetohydrodynamics and passive scalar motion as geodesics on semidirect product groups
- Nonlocal nature of vortex stretching in an inviscid fluid
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