On the solvability of the boundary value problem of magnetic gas dynamics with cylindrical and spherical symmetry

In this work we prove the correctness “as a whole” by the time of the initial-boundary value problems for the equations of motion of a viscous heat-conducting gas in view of the magnetic field. Showing the transition from the primary to the three-dimensional Euler equations and the subsequent Lagrangian coordinate variable. Proof of the main results was carried out at the same time to move to the cylindrical and spherical waves.