On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows

DOI10.1017/S0022112096008890zbMath0891.76093MaRDI QIDQ4358984

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Publication date: 19 July 1998

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Lyapunov stability vector potential isomorphism Casimir linear stability criterion Arnold techniques flow of stratified fluid modified vorticity field pseudogravitational force

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Variational methods applied to problems in fluid mechanics (76M30) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

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Magnetohydrodynamic drift equations: from Langmuir circulations to magnetohydrodynamic dynamo? ⋮ Simplified variational principles for barotropic magnetohydrodynamics ⋮ Note on the nonlinear stability of stratified fluid equilibria ⋮ Noether currents for Eulerian variational principles in non-barotropic magnetohydrodynamics and topological conservations laws ⋮ Direct lyapunov method in nonlinear stability of complex flows ⋮ Variational principle and canonical variables in hydrodynamics with discontinuities ⋮ Holly type stability of set of solutions of three dimensional stationary incompressible magnetohydrodynamic equations ⋮ Planar inviscid flows in a channel of finite length: washout, trapping and self-oscillations of vorticity ⋮ Formal stability in Hamiltonian fluid models for plasmas

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