Some properties of the solutions of a non-linear boundary value problem for a force-free field in an infinite region of space. I - Energy estimates

Details Some properties of the solutions of a non-linear boundary value problem for a force-free field in an infinite region of space. I - Energy estimates Some properties of the solutions of a non-linear boundary value problem for a force-free field in an infinite region of space. I - Energy estimates

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...203..183a&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 203, no. 1, Sept. 1988, p. 183-188.

Astronomy and Astrophysics

Astrophysics

21

Astrophysics, Boundary Value Problems, Force-Free Magnetic Fields, Stellar Magnetic Fields, Nonlinear Systems, Solar Corona, Solar Magnetic Field, Solar Physics

Scientific paper

The author considers the boundary value problem which determines a finite energy force-free field B in a domain of space Ω from the values of its normal component Bn on the boundary ∂Ω, and of α = B^m∇×B^ on that part ∂Ω+ of ∂Ω on which Bn > 0.

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