Elements of Magnetohydrodynamics with the Hall Current. Part 1. Nonlinear Phenomena

P. Rosenau, J. A. Tataronis, G. Conn

Research output: Contribution to journalArticlepeer-review

Abstract

The elements of magnetohydrodynamics (MHD) with the Hall current are presented. The governing partial differential equations are, like those of ideal MHD, quasi-linear, but unlike ideal MHD, are not hyperbolic. However, they do possess real characteristics which are shown to be associated with the sound wave and the surfaces ø(r, t) = const, determined by B. Vø = 0. Properties of weak and strong discontinuities are discussed, and comparisons are made with ideal MHD. I t is shown that generalizations of dipole layers appear as a result of discontinuities in the magnetic field.

Original languageEnglish
Pages (from-to)385-399
Number of pages15
JournalJournal of Plasma Physics
Volume21
Issue number3
DOIs
StatePublished - Jun 1979
Externally publishedYes

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