In this paper, a system of equations describing the motion of a one-dimensional, cylindrically symmetrical, inviscid, non-ideal gas with a constant axial magnetic field is considered and the singular surface theory is used to study different modes of wave propagation and its culmination into a shock wave. The transport equation for the jump in the velocity gradient is derived and solved numerically to study the affects of the ratio of specific heat, non ideal parameter and initial magnetic fields on jump in the velocity gradient.
"Propagation of singular surfaces in a non-ideal gas with axial magnetic field." Rocky Mountain J. Math. 49 (1) 235 - 245, 2019. https://doi.org/10.1216/RMJ-2019-49-1-235