Nonlinear effects in resonant layers in solart and space plasmas |
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Istvan Ballai Submitted: 2010-11-26 07:01
The present paper reviews recent advances in the theory of nonlinear driven magnetohydrodynamic
(MHD) waves in slow and Alfvén resonant layers. Simple estimations
show that in the vicinity of resonant positions the amplitude of variables can grow over the
threshold where linear descriptions are valid. Using the method of matched asymptotic expansions,
governing equations of dynamics inside the dissipative layer and jump conditions
across the dissipative layers are derived. These relations are essential when studying the efficiency
of resonant absorption. Nonlinearity in dissipative layers can generate new effects,
such as mean flows, which can have serious implications on the stability and efficiency of
the resonance.
Authors: Istvan Ballai, Michael Ruderman
Projects: None
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Publication Status: accepted
Last Modified: 2010-11-27 03:00
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