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Preprints of the Keldysh Institute of Applied Mathematics, 2006, 057, 26 pp. (Mi ipmp605)  
Self-similiar solutions of the two-dimensional non-stationary ideal MHD equations

Yu. K. Mizyakin, T. G. Yelenina
Full-text PDF (293 kB)
Abstract: The aim of the paper is to construct the self-similiar solutions of the non-steady ideal MHD equations. It is assumed that the flow is axisymmetric, the matter has only radial component in the poloidal plane. 2D nonstationary problem is reduced to the Grad-Shafranof equation solution. As a result it is shown that there are the family of self-similiar solutions and they depend on adiabatic exponent.
Document Type: Preprint
Language: Russian
Citation: Yu. K. Mizyakin, T. G. Yelenina, “Self-similiar solutions of the two-dimensional non-stationary ideal MHD equations”, Keldysh Institute preprints, 2006, 057, 26 pp.
Citation in format AMSBIB
\Bibitem{MizEle06}
\by Yu.~K.~Mizyakin, T.~G.~Yelenina
\paper Self-similiar solutions of the two-dimensional non-stationary ideal MHD equations
\jour Keldysh Institute preprints
\yr 2006
\papernumber 057
\totalpages 26
\mathnet{http://mi.mathnet.ru/ipmp605}
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