Some integral properties of two-dimensional force-free fields supporting massive current sheets

Details Some integral properties of two-dimensional force-free fields supporting massive current sheets Some integral properties of two-dimensional force-free fields supporting massive current sheets

Mar 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...193..291a&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 193, no. 1-2, March 1988, p. 291, 292.

Astronomy and Astrophysics

Astrophysics

5

Current Sheets, Force-Free Magnetic Fields, Solar Magnetic Field, Solar Prominences, Dirac Equation, Gravitational Fields, Virial Theorem

Scientific paper

A set of useful integral relations satisfied by any x-invariant nonlinear force-free field occupying the half-space z greater than zero and supporting a massive current sheet against the action of a vertical gravitational field is derived. These relations are used to prove a nonexistence theorem for the solutions of a boundary value problem which determines the equilibrium of a massive sheet when the amount of mass per unit of flux of the background nonlinear force-free field is given.

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