The boundary value problem of magnetotail equilibrium

Details The boundary value problem of magnetotail equilibrium The boundary value problem of magnetotail equilibrium

Nov 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jgr....9619441b&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 96, Nov. 1, 1991, p. 19,441-19,450. Research supported by DOE and NASA.

Physics

13

Boundary Value Problems, Equilibrium Equations, Geomagnetic Tail, Magnetic Field Configurations, Solar Wind, Conservation Laws, Magnetopause, Two Dimensional Models

Scientific paper

The earth magnetotail equilibrium problem is examined by expressing it as a 2D boundary value problem for a prescribed tail boundary, which may be considered as an idealized magnetopause. A general solution of this problem is derived for the 2D case, where the dependence on the y coordinate and the presence of By are neglected. These solutions are further generalized by including the y dependence and an open magnetosphere. Then, a general solution of a 3D boundary problem is derived.

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