Global existence theorem of a generalized solution for a one‐dimensional thermal explosion model of a compressible micropolar real gas

We consider 1‐D thermal explosion of a compressible micropolar real gas, assuming that the initial density and temperature are bounded from below with a positive constant and that the initial data are sufficiently smooth. The starting problem is transformed into the Lagrangian description on the spatial domain and contains homogeneous boundary conditions. In this work, we prove that our problem has a generalized solution for any time interval . The proof is based on the local existence theorem and the extension principle.