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