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KIAM Preprint № 55, Moscow, 2004
Authors: Yelenina T.G., Ustyugova G.V.
Family of self -- similiar solutions of the nonstationary ideal MHD equations
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.
Publication language: russian,  pages: 18
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Yelenina T. G.,  KIAM RAS
  • Ustyugova G. V.,  KIAM RAS