Helicity invariants in 3D: Kinematical aspects
DOI10.1016/S0167-2789(99)00239-0zbMath0970.76077arXivmath-ph/9812007MaRDI QIDQ1582065
Publication date: 10 October 2000
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/9812007
superconductivitymagnetohydrodynamicssymplectic structuresPoisson bracket algebrabarotropic fluidssymmetry principleconformal equivalencelocal Lie algebrasconformal symplectic structurescross helicitiesEulerian conservation lawshelicity conservation lawLagrangian conservation laws
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Applications of differential geometry to physics (53Z05) Magnetohydrodynamics and electrohydrodynamics (76W05) Incompressible inviscid fluids (76B99) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
Related Items
Cites Work
- Invariant form and certain structural properties of hydrodynamic Euler equations
- Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
- Symplectic geometry and secondary characteristic classes
- Long-wave equation with free boundaries. I. Conservation laws and solution
- Reduction of symplectic manifolds with symmetry
- Equations of long waves with a free surface. II: Hamiltonian structure and higher equations
- Les variétés de Jacobi et leurs algèbres de Lie associees
- Invariants of the Euler equations for ideal or barotropic hydrodynamics and superconductivity in \(D\) dimensions
- Kinematical symmetries of three-dimensional incompressible flows
- Lagrangian description, symplectic structure, and invariants of 3D fluid flow.
- Lax pair formulation for the Euler equation
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Hamiltonian description of the ideal fluid
- The lagrangian picture of fluid motion
- Nonlinear stability analysis of stratified fluid equilibria
- Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids
- A note on topology and magnetic energy in incompressible perfectly conducting fluids
- LOCAL LIE ALGEBRAS
- Helicity conservation via the Noether theorem
- A Riemannian geometrical description for Lie-Poisson systems and its application to idealized magnetohydrodynamics
- AN ACTION PRINCIPLE FOR MAGNETOHYDRODYNAMICS
- The degree of knottedness of tangled vortex lines
- Variational principles in continuum mechanics
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Helicity invariants in 3D: Kinematical aspects