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Linear and nonlinear resonant interaction of sound waves in dissipative layers

Published online by Cambridge University Press:  14 February 2001

I. BALLAI ,
R. ERDÉLYI  and
M. GOOSSENS
I. BALLAI
Affiliation:
Center for Plasma Astrophysics, KU Leuven, Celestijnenlaan 200B, B-3001 Leuven-Heverlee, Belgium
R. ERDÉLYI
Affiliation:
Space and Atmosphere Research Centre, Department of Applied Mathematics, University of Sheffield, Sheffield S3 7RH, UK
M. GOOSSENS
Affiliation:
Center for Plasma Astrophysics, KU Leuven, Celestijnenlaan 200B, B-3001 Leuven-Heverlee, Belgium
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Extract

The theory of resonant nonlinear magnetohydrodynamic (MHD) waves in dissipative steady plasmas developed by Ballai and Erdélyi is used to study the effect of steady flows on nonlinear resonant heating of MHD waves in (a) linear, (b) weakly and (c) strongly nonlinear approximations. Nonlinear connection formulae for slow MHD waves are derived. This nonlinear theory of driven MHD waves is then used to study the interaction of sound waves with one-dimensional isotropic steady plasmas. We find that a steady equilibrium flow can significantly influence the efficiency of resonant absorption in the considered limits. In the case of strong nonlinearity, the efficiency of the resonant coupling is found to be proportional to the counterpart obtained in linear theory. The factor of proportion is approximately of the order of unity, justifying the commonly applied linear approximations.

Type
Research Article
Information
Journal of Plasma Physics , Volume 64 , Issue 3 , September 2000 , pp. 235 - 247
Copyright
© 2000 Cambridge University Press

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