Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...111..104h&link_type=abstract
Astronomy and Astrophysics, vol. 111, no. 1, July 1982, p. 104-112.
Astronomy and Astrophysics
Astrophysics
33
Magnetohydrodynamic Stability, Magnetohydrostatics, Plasma Equilibrium, Solar Activity, Solar Corona, Solar Magnetic Field, Boundary Conditions, Boundary Value Problems, Dirichlet Problem, Electric Current, Magnetic Field Configurations, Solar Flares
Scientific paper
General properties are deduced for a series of two-dimensional magnetohydrostatic configurations. An existence theorem for the Dirichlet boundary conditions on the frontier of a semiinfinite domain is established, and the magnetic topology of the always-existing solution is shown to be of the open type. While the existence of a closed topology solution is also proved for the case of small currents, this solution disappears at a bifurcation point for some finite value of the stretching parameter lambda. The relevance of these results to the study of eruptive solar flares and other solar active phenomena is discussed.
Heyvaerts Jean
Lasry J. M.
Schatzmann M.
Witomsky P.
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