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  • Cited by 3
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Ballai, Istvan and Ruderman, Michael S. 2011. Nonlinear Effects in Resonant Layers in Solar and Space Plasmas. Space Science Reviews, Vol. 158, Issue. 2-4, p. 421.


    Ballai, István and Forgács-Dajka, Emese 2010. The dynamical solar atmosphere. Journal of Physics: Conference Series, Vol. 218, p. 012002.


    Clack, Christopher T. M. and Ballai, Istvan 2009. Mean shear flows generated by nonlinear resonant Alfvén waves. Physics of Plasmas, Vol. 16, Issue. 7, p. 072115.


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Linear and nonlinear resonant interaction of sound waves in dissipative layers

  • I. BALLAI (a1), R. ERDÉLYI (a2) and M. GOOSSENS (a1)
  • DOI: http://dx.doi.org/10.1017/S0022377800008564
  • Published online: 01 February 2001
Abstract

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.

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Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
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