Extrapolation functions for constant-alpha force-free fields - Green's method for the oblique boundary value

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Force-Free Magnetic Fields, Solar Magnetic Field, Boundary Value Problems, Extrapolation, Green'S Functions

Scientific paper

The Green's method approach is used to generalize the existing solutions for the constant-alpha force-free fields to the oblique case, in which the observed longitudinal magnetic field component is not normal to the surface. Consideration is given to the existence and uniqueness of the solutions. If a bounded solution exists, it is uniquely determined in terms of one component of the magnetic field on the observed plane surface.

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