Hamiltonian moment reduction for describing vortices in shear
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Publication:5755733
DOI10.1063/1.869352zbMath1185.76903OpenAlexW2004274265MaRDI QIDQ5755733
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Publication date: 15 August 2007
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/a291b5b3653186eb2acac477c29c8d1afb4b992c
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Cites Work
- A nonlinear Hamiltonian structure for the Euler equations
- Integrators for Lie-Poisson dynamical systems
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Variation Principles of Hydrodynamics
- A moment model for vortex interactions of the two-dimensional Euler equations. Part 1. Computational validation of a Hamiltonian elliptical representation
- Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three-dimensional quasi-geostrophic flows
- Symmetric vortex merger in two dimensions: causes and conditions
- Three-dimensional stability of elliptical vortex columns in external strain flows
- Elliptical vortices in shear: Hamiltonian moment formulation and Melnikov analysis
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