Point Source-Induced Spherically Symmetric Flow of a Viscous Heat-Conducting Compressible Perfect Gas

The solution of the Navier-Stokes equations for a spherically symmetric steady flow of a perfect gas from a point source is presented. The coefficients of the first viscosity and thermal conductivity are taken into account as functions of temperature, in particular, three options are investigated: constant coefficients, linearly dependent on temperature and dependent on the square root of temperature. It is shown that the solution has an irregular singular point (essentially singular point) at infinity and therefore the solution cannot be represented at infinity as a holomorphic function. The solution is obtained in the form of special series (in fact, Laurent series).