TY - JOUR
T1 - Elements of Magnetohydrodynamics with the Hall Current. Part 1. Nonlinear Phenomena
AU - Rosenau, P.
AU - Tataronis, J. A.
AU - Conn, G.
N1 - Funding Information:
This research was supported by the U.S. Department of Energy under contract no. EY-76-C02-3077.
PY - 1979/6
Y1 - 1979/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84971844645&partnerID=8YFLogxK
U2 - 10.1017/S0022377800021966
DO - 10.1017/S0022377800021966
M3 - מאמר
AN - SCOPUS:84971844645
VL - 21
SP - 385
EP - 399
JO - Journal of Plasma Physics
JF - Journal of Plasma Physics
SN - 0022-3778
IS - 3
ER -