Title
Potential symmetry and invariant solutions of Fokker-Planck equation modelling magnetic field diffusion in magnetohydrodynamics including the Hall current Potential symmetry and invariant solutions of Fokker-Planck equation modelling magnetic field diffusion in magnetohydrodynamics including the Hall current
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Source (journal)
Physica: A: theoretical and statistical physics. - Amsterdam
Volume/pages
341(2004) , p. 107-122
ISSN
0378-4371
ISI
000223488400009
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
E-info
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