Ballai, I. and Erdélyi, R. (2002) Nonlinear theory of resonant slow MHD waves in twisted magnetic flux tubes. Journal of Plasma Physics, 67 (2-3). pp. 79-97. ISSN 0022-3778
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2002 Cambridge University Press |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Repository Assistant |
Date Deposited: | 14 Sep 2006 |
Last Modified: | 18 Nov 2015 15:20 |
Published Version: | http://dx.doi.org/10.1017/S0022377802001629 |
Status: | Published |
Publisher: | Cambridge University Press |
Refereed: | Yes |
Identification Number: | 10.1017/S0022377802001629 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:1575 |