On self-consistent finite-mode approximations in (quasi-) two-dimensional hydrodynamics and magnetohydrodynamics

DOI10.1016/j.physleta.2005.03.032zbMath1145.76348OpenAlexW2031517491MaRDI QIDQ2478919

Vladimir Zeitlin

Publication date: 25 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.03.032

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (6)

Hamiltonian fluid reductions of electromagnetic drift-kinetic equations for an arbitrary number of moments ⋮ Poisson structure of the three-dimensional Euler equations in Fourier space ⋮ Effective low-order models for atmospheric dynamics and time series analysis ⋮ Minimal atmospheric finite-mode models preserving symmetry and generalized Hamiltonian structures ⋮ Instability of Equilibria for the Two-Dimensional Euler Equations on the Torus ⋮ Stability results for idealized shear flows on a rectangular periodic domain

Cites Work

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• Mathematical analysis of a structure-preserving approximation of the bidimensional vorticity equation
• Hamiltonian finite-dimensional models of baroclinic instability
• Finite-mode analogs of 2D ideal hydrodynamics: Coadjoint orbits and local canonical structure
• DIFFEOMORPHISM GROUPS, QUANTIZATION, AND SU(∞)
• Two-dimensional ideal magnetohydrodynamics and differential geometry
• Explicit Lie-Poisson integration and the Euler equations
• Statistically relevant conserved quantities for truncated quasigeostrophic flow

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