Other
Scientific paper
Apr 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...197..251l&link_type=abstract
Astrophysical Journal, vol. 197, Apr. 1, 1975, pt. 1, p. 251-255.
Other
119
Magnetohydrodynamic Stability, Magnetostatic Fields, Solar Atmosphere, Solar Gravitation, Solar Magnetic Field, Elliptic Differential Equations, Equilibrium Equations, Isothermal Processes, Photosphere, Solar Wind
Scientific paper
The magnetostatic equilibrium equations of a two-dimensional plasma in a uniform gravity field are derived without assuming a constant gas temperature. Pressure and temperature are transformed into functions of the magnetic vector potential and the vertical height, and the vector equilibrium equation for Cartesian and cylindrical coordinate systems is reduced to a single scalar nonlinear elliptic partial differential equation. The general properties of the derived equations and their general implications are discussed, and it is shown that photospheric conditions at any one time in general do not determine unique magnetostatic equilibrium configurations above the photosphere.
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