Stability of two-dimensional pre-flare structures

Details Stability of two-dimensional pre-flare structures Stability of two-dimensional pre-flare structures

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983soph...87..103s&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 87, Aug. 1983, p. 103-133. Research supported by the Deutsche Forschungsgemeinschaft.

Physics

35

Magnetohydrodynamic Stability, Solar Flares, Dynamic Stability, Equilibrium Equations, Variational Principles, Vlasov Equations

Scientific paper

Several theoretical approaches to the problem of the onset of solar flares identify the point of onset as a 'critical' point, where the solution curve turns back. In other theories, a flare occurs at a conventional transition from stability to instability. The present paper provides stability results relevant for both types of approaches. Restricting the discussion to two-dimensional configurations (e.g. models for two-ribbon flares) stability is discussed in the framework of ideal magnetohydrodynamics, resistive magnetohydrodynamics and Vlasov theory. In most (but not all) cases the perturbation modes considered are restricted to two spatial dimensions in the same sense as the equilibrium. Several rather general criteria for stability of the lower part of the solution curve ('minimal solutions') are derived. The results provide support to the concept of flare onset at a critical point.

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