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Non-linear stability in hydrodynamics and magnetohydrodynamics is discussed especially in connection with unconditional stability and with severe limitations on the Reynolds number. Two examples in magnetohydrodynamics show that the limitations on the Reynolds number can be removed but unconditional stability is preserved. Practical stability needs to be treated for limited levels of perturbations or for conditional stability. This implies some knowledge of the basin of attraction of the unperturbed solution.

Additional information

Authors: TASSO H, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE)
Bibliographic Reference: Article: Physics Letters A, Vol. 108 B (1993) No. 7, pp. 827-830
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