Mathematics
Scientific paper
Jan 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978soph...56...37j&link_type=abstract
Solar Physics, vol. 56, Jan. 1978, p. 37-53.
Mathematics
46
Branching (Mathematics), Force-Free Magnetic Fields, Magnetic Field Configurations, Solar Magnetic Field, Boundary Conditions, Boundary Value Problems, Magnetic Flux, Photosphere, Solar Flares
Scientific paper
Numerical calculations of two-dimensional force-free fields as models of solar active regions are presented. For a given 'toroidal' component of the photospheric magnetic field, two branches of solutions are numerically obtained which merge at the critical point of maximum allowed toroidal magnetic field. Depending on boundary conditions, magnetic islands may or may not form. The results are discussed with respect to their relevance to the flare process.
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