Publication
Title
Potential symmetry and invariant solutions of Fokker-Planck equation modelling magnetic field diffusion in magnetohydrodynamics including the Hall current
Author
Abstract
Lie groups involving potential symmetries are exposed in view of applications to physics. The system of magnetohydrodynamic, equations for incompressible matter with Ohm's law for finite resistivity and Hall current is studied in Cartesian geometry. The equations for the evolution of the plasma flow and the magnetic field decouple. The latter one reduces to a Fokker-Planck type equation. Invariant solutions are obtained involving the effects of time-dependent flows and the Hall-current. Some interesting side results of this approach are new exact solutions that do not seem to have been reported in the literature. (C) 2004 Elsevier B.V. All rights reserved.
Language
English
Source (journal)
Physica: A: theoretical and statistical physics. - Amsterdam
Publication
Amsterdam : 2004
ISSN
0378-4371
Volume/pages
341(2004), p. 107-122
ISI
000223488400009
Full text (Publishers DOI)
Full text (publishers version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.01.2013
Last edited 26.04.2017
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