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Nonlinear theory of resonant slow MHD waves in twisted magnetic flux tubes

Published online by Cambridge University Press:  17 June 2002

I. BALLAI  and
R. ERDÉLYI
I. BALLAI
Affiliation:
School of Mathematics and Statistics, University of St Andrews, St Andrews, Fife KY16 9SS, Scotland
R. ERDÉLYI
Affiliation:
Space and Atmosphere Research Centre, Department of Applied Mathematics, University of Sheffield, Sheffield S3 7RH, England
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Abstract

The nonlinear dynamics of resonant slow MHD waves in weakly dissipative plasmas is investigated in cylindrical geometry with a twisted equilibrium magnetic field. Linear theory has shown that the wave motion is governed by conservation laws and jump conditions across the resonant surface considered as a singularity – first derived in linear ideal MHD theory by Sakurai, Goossens and Hollweg [Solar Phys.133, 227 (1991)]. By means of the simplified method of matched asymptotic expansions, we obtain the generalized connection formulae for the variables across the dissipative layer, and we derive a non-homogeneous nonlinear partial differential equation for the wave dynamics in the dissipative layer.

Type
Research Article
Information
Journal of Plasma Physics , Volume 67 , Issue 2-3 , April 2002 , pp. 79 - 97
Copyright
2002 Cambridge University Press

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