A generalization of the Woltjer minimum-energy principle

Details A generalization of the Woltjer minimum-energy principle A generalization of the Woltjer minimum-energy principle

Nov 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...225..156d&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 225, no. 1, Nov. 1989, p. 156-166. Research supported by SERC and Culham Labor

Astronomy and Astrophysics

Astrophysics

20

Magnetohydrodynamics, Solar Corona, Solar Magnetic Field, Free Boundaries, Magnetic Field Configurations, Spheromaks

Scientific paper

The theorem of Woltjer (1958) for the minimization of the magnetic energy of a magnetic structure is extended to include the case of a free boundary subjected to external magnetic or plasma pressure forces. The case where the boundary is not a magnetic surface is also treated. Applications to a finite cylindrical flux tube and a spheromak are given to illustrate the theory. It is also shown how the theory may be applied to the construction of stationary Euler flows.

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