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KIAM Preprint № 57, Moscow, 2006
Authors: Mizyakin Yu.K., Yelenina T.G.
Self-similiar solutions of the two-dimensional non-stationary ideal MHD equations
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.
Publication language: russian,  pages: 26
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Mizyakin Yu.K.
  • Yelenina T. G.,  KIAM RAS