Nonlinear self-consistent three-dimensional arcade-like solutions of the magnetohydrostatic equations.

Details Nonlinear self-consistent three-dimensional arcade-like solutions of the magnetohydrostatic equations. Nonlinear self-consistent three-dimensional arcade-like solutions of the magnetohydrostatic equations.

Sep 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997a%26a...325..847n&link_type=abstract

Astronomy and Astrophysics, v.325, p.847-856

Astronomy and Astrophysics

Astrophysics

12

Magnetohydrodynamics, Magnetic Fields, Plasmas, Sun: Magnetic Fields, Sun: Corona, Stars: Magnetic Fields

Scientific paper

Exact self-consistent solutions of the magnetohydrostatic equations in three dimensions with a nonlinear relationship between the magnetic field and the current density are presented. The derivation is carried out in Cartesian coordinates including a constant gravitational force pointing into the negative z-direction. Out of several solution classes only one has an arcade-like magnetic field topology. This solution class is investigated further and two examples are shown for specific choices of the free functions and parameters which the solution class has.

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