The emergence of delta shock in the limit process for two‐dimensional steady nonisentropic relativistic Euler flow onto a straight wedge

Abstract

AbstractIn this paper, we mainly study the limit of solutions to the two‐dimensional steady nonisentropic relativistic Euler flow onto a straight wedge. It turns out that the sequence of shock solutions tends to a delta wave adhering to the wedge surface when the velocity of the incident flow goes to the speed of light and the adiabatic index tends to 1 in turn. Meanwhile, it also verifies that the pressure coefficient in the limit case is consistent with the Newtonian sin‐squared law when the speed of light tends to infinity. To this end, we also derive the generalized Bernoulli equation, Taub adiabat (or the generalized Hugoniot adiabat) and a shock polar, and so forth. Furthermore, we give the construction of the delta wave by the definition of weak solution.