Lagrangian description, symplectic structure, and invariants of 3D fluid flow.

DOI10.1016/S0375-9601(97)00404-0zbMath1053.76525arXivsolv-int/9703012MaRDI QIDQ1968393

Hasan Gümral

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9703012

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Applications of differential geometry to physics (53Z05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (5)

Isogeometric Compatible Discretizations for Viscous Incompressible Flow ⋮ Kinematical symmetries of three-dimensional incompressible flows ⋮ A time-extended Hamiltonian formalism ⋮ Lagrangian description, symplectization, and Eulerian dynamics of incompressible fluids ⋮ Helicity invariants in 3D: Kinematical aspects

Cites Work

• Contravariant geometry of time-dependent dynamical systems
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Reduction, symmetry, and phases in mechanics
• Islands in three-dimensional steady flows
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