Isobaric separation structures in supersonic flows with a localized inhomogeneity

The problem of the selection of a single solution is analyzed for the case where the cause of the appearance of a large separation region is a small inhomogeneity in the incident supersonic flow. An inviscid steady flow with an isobaric dead zone exists under certain conditions. This flow in the local inhomogeneity scale is a flow with a separated compression shock and, upon transition to the external global scale, is continuously transformed to a self-similar supersonic flow with a thin entropy layer at the boundary of the dead zone. Any steady inviscid flow can be considered as an element of the dynamic invariant, which can be modified by means of the substitution principle. The inhomogeneity region coincides with the symmetry axis and its real sizes cease to affect the flow pattern.