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Refutation of stability proofs for dipole vortices. (English) Zbl 0748.76056

Summary: Five stability proofs for dipole vortices ( modons) that have been presented by various authors are examined. It is shown that they are all incorrect, and that westward-propagating dipoles are in fact unstable, in contradiction to some of the proofs.

MSC:

76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
76E20 Stability and instability of geophysical and astrophysical flows
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