Kinematical symmetries of three-dimensional incompressible flows
DOI10.1016/S0167-2789(99)00122-0zbMath0960.76073arXivmath-ph/9805001MaRDI QIDQ1961675
Publication date: 10 May 2001
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/9805001
symmetry algebraLagrangian coordinatesthree-dimensional incompressible flowHamiltonian structuresgroup of volume preserving diffeomorphismsleft Lie algebra
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Applications of Lie groups to the sciences; explicit representations (22E70) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
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- The local structure of Poisson manifolds
- A nonlinear Hamiltonian structure for the Euler equations
- Properties of infinite dimensional Hamiltonian systems
- Reduction of symplectic manifolds with symmetry
- Dynamics of the attractor in the Lotka-Volterra equations
- Invariants of the Euler equations for ideal or barotropic hydrodynamics and superconductivity in \(D\) dimensions
- Form preserving diffeomorphisms of open manifolds
- A time-extended Hamiltonian formalism
- Lagrangian description, symplectic structure, and invariants of 3D fluid flow.
- Lax pair formulation for the Euler equation
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Hamiltonian description of stratified fluid dynamics
- 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
- AN ACTION PRINCIPLE FOR MAGNETOHYDRODYNAMICS
- Variational principles in continuum mechanics
- A note on Hamilton's principle for perfect fluids
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