The propagation of a two-dimensional supersonic radiating wave

In a certain type of plasma laser, the plasma, when heated to high temperatures, emits in the UV range. This UV radiation is absorbed in cold layers of air, surrounding the plasma, and leads to the heating and ionization of these layers, which start to absorb the laser emission. The air layers, in turn, begin to emit radiation, and a supersonic radiating wave travels along the layers to meet the laser beam. This paper treats the two-dimensional nonstationary problem of the propagation of such a wave, obtains temperature distributions in the system for different times, and determines plasma jet boundaries and radiation-energy losses.