Topological constraints and the existence of force-free fields

Details Topological constraints and the existence of force-free fields Topological constraints and the existence of force-free fields

Dec 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986nascp2442..419a&link_type=abstract

In NASA. Goddard Space Flight Center Coronal and Prominence Plasmas p 419-423 (SEE N87-20871 13-92)

Mathematics

Logic

Euler Equations Of Motion, Heuristic Methods, Magnetohydrodynamics, Plasma Equilibrium, Solar Corona, Boundary Conditions, Boundary Value Problems, Magnetic Fields, Topology

Scientific paper

A fundamental problem in plasma theory is the question of the existence of MHD equilibria. The issue of topological constraints is of crucial importance for the problem of the existence of equilibria. Heuristic methods are used to discuss the coronal wrapping pattern. It is concluded that for a given set of footpoint positions the wrapping pattern in the corona is completely fixed. The topological constraints are included in the boundary conditions on the Euler potentials and impost no additional restrictions on possible equilibria. Although this does not prove that equilibria always exist, it does show that the force-free problem is not overdetermined and that existence of equilibria is still an open question.

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