Energy principle for two-dimensional magnetostatic equilibria

Details Energy principle for two-dimensional magnetostatic equilibria Energy principle for two-dimensional magnetostatic equilibria

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987sssmp..30..509h&link_type=abstract

Scientia Sinica, Series A - Mathematical, Physical, Astronomical and Technical Sciences (ISSN 0253-5831), vol. 30, May 1987, p.

Statistics

Computation

3

Bernstein Energy Principle, Energy Methods, Equilibrium, Magnetostatics, Stellar Atmospheres, Boundary Value Problems, Computational Astrophysics, Large Space Structures, Plasma Density, Spherical Coordinates

Scientific paper

The stability of magnetic equilibria in stellar atmospheres is investigated analytically, applying the approach of Bernstein et al. (1958) to derive an energy principle for two-dimensional equilibria with gravity and simplifying further for two-component problems. The necessary and sufficient conditions for stability are obtained, and the application of the present approach to the polytropic atmosphere studied in spherical coordinates by Low (1984) is explained.

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