On the uniqueness of the determination of the coronal potential magnetic field from line-of-sight boundary conditions

Details On the uniqueness of the determination of the coronal potential magnetic field from line-of-sight boundary conditions On the uniqueness of the determination of the coronal potential magnetic field from line-of-sight boundary conditions

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987soph..111..287a&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 111, no. 2, 1987, p. 287-296.

Physics

12

Boundary Conditions, Boundary Value Problems, Line Of Sight, Solar Corona, Solar Magnetic Field, Solar Wind, Astronomical Models, Solar Physics

Scientific paper

The author considers a simple model in which the coronal magnetic field B is assumed to be potential in the region between the solar surface Γ0 and an exterior "source-surface" Γ1 of arbitrary shape. He proves that the boundary value problem that determines B from the value Bl of its component on Γ0 along either l^ = ω^ (orthoradial direction) or l^ = x^ (fixed direction) has at most one solution. On the other hand, he shows that a solution can exist only if Bl satisfies some "solubility conditions".

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