A coordinate free description of magnetohydrostatic equilibria

Details A coordinate free description of magnetohydrostatic equilibria A coordinate free description of magnetohydrostatic equilibria

Dec 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986nascp2442..431m&link_type=abstract

In its Coronal and Prominence Plasmas p 431-437 (SEE N87-20871 13-92)

Mathematics

3

Flux (Rate), Magnetic Fields, Magnetohydrostatics, Photosphere, Solar Corona, Boundary Layer Transition, Current Density, Geometry, Heating, Topology

Scientific paper

The question what geometrical restrictions are imposed on static magnetic fields by the magnetohydrostatic (MHS) equation is addressed. The general mathematical problem is therefore to determine the solutions of the MHS equations in the corona subject to an arbitrary normal component of the magnetic field at the boundary and arbitrary connectivity. What constraints the MHS equations impose on the geometry of the solutions, expressed in metric tensors, will be determined.

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