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Nonlinear stability of dissipative magnetized parallel flows was studied using Lyapunov methods. For 2-dimensional perturbations perpendicular to the direction of the flow, a Lyapunov functional was constructed explicitly by two slightly different methods. This ensures the nonlinear unconditional stability of the system. Although the extenson of this nonlinear work to 3-dimensinal perturbations seems impossible at present, a conjecture concerning linear stability of magnetized Couette flows was stated, whose proof may become a mathematical challenge. Secondly, the addition of parallel flows to ideal static equilibria was investigated. It was found that Palumbo's 'isodynamic' equilibrium plays a special role in this problem.

Additional information

Authors: TASSO H, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE)
Bibliographic Reference: Report: IPP 6/340 EN (1996) 7pp.
Availability: Available from Max-Planck-Institut für Plasmaphysik, 85748 Garching bei München (DE)
Record Number: 199610639 / Last updated on: 1996-05-27
Original language: en
Available languages: en