Local existence theorem for micropolar viscous real gas flow with homogeneous boundary conditions.

We consider the model for one‐dimensional micropolar, viscous, polytropic, and thermally conductive real gas flow with homogeneous boundary conditions, using the generalized equation of state for pressure. The generalization is shown by the fact that the pressure depends on the mass density as a power function. The governing system of partial differential equations is given in the Lagrangian description. Using the Faedo–Galerkin method and a priori estimates, we prove that the generalized solution exists locally in time. [ABSTRACT FROM AUTHOR]