caa a22 4500 445816023 CHVBK 20180317145228.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s11214-010-9717-0 doi (NATIONALLICENCE)springer-10.1007/s11214-010-9717-0 Nonlinear Effects in Resonant Layers in Solar and Space Plasmas [Elektronische Daten] [Istvan Ballai, Michael Ruderman] 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. Springer Science+Business Media B.V., 2011 Sun nationallicence Magnetohydrodynamics nationallicence Resonant waves nationallicence Nonlinearity nationallicence Ballai Istvan Solar Physics and Space Plasmas Research Centre, Dept. of Applied Mathematics, University of Sheffield, Hounsfield Road, Hicks Building, S3 7RH, Sheffield, UK aut Ruderman Michael Solar Physics and Space Plasmas Research Centre, Dept. of Applied Mathematics, University of Sheffield, Hounsfield Road, Hicks Building, S3 7RH, Sheffield, UK aut Space Science Reviews Springer Netherlands 158/2-4(2011-07-01), 421-450 0038-6308 158:2-4<421 2011 158 11214 https://doi.org/10.1007/s11214-010-9717-0 text/html Onlinezugriff via DOI 1 review-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11214-010-9717-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ballai Istvan Solar Physics and Space Plasmas Research Centre, Dept. of Applied Mathematics, University of Sheffield, Hounsfield Road, Hicks Building, S3 7RH, Sheffield, UK aut NATIONALLICENCE 700 1- Ruderman Michael Solar Physics and Space Plasmas Research Centre, Dept. of Applied Mathematics, University of Sheffield, Hounsfield Road, Hicks Building, S3 7RH, Sheffield, UK aut NATIONALLICENCE 773 0- Space Science Reviews Springer Netherlands 158/2-4(2011-07-01), 421-450 0038-6308 158:2-4<421 2011 158 11214 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer