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

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Abstract

We consider a simple model in which the coronal magnetic field B is assumed to be potential in the region between the solar surface Γ o and an exterior ‘source-surface’ Γ1 of arbitrary shape. We prove that the boundary value problem that determines B from the value B lof its component on Γ 0 along either \(\hat l = \hat \omega\) (orthoradial direction) or \(\hat l = \hat x\) (fixed direction) has at most one solution. On the other hand, we show that a solution can exist only if B lsatisfies some ‘solubility conditions’.

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  1. Service d'Astrophysique, CEN Saclay, 91191, Gif-sur-Yvette Cédex, France

    J. J. Aly

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  1. J. J. Aly
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Aly, J.J. On the uniqueness of the determination of the coronal potential magnetic field from line-of-sight boundary conditions. Sol Phys 111, 287–296 (1987). https://doi.org/10.1007/BF00148521

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  • DOI: https://doi.org/10.1007/BF00148521

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