Conical shock wave for non-isentropic compressible Euler system of equations (Q2818339)

The authors study existence and stability of shock waves for non-isentropic steady equations for density and velocity of gas. The supersonic flow hits a quasi-conic (i.e., perturbed cone) obstacle. The main results of the article state that the conical shock is linearly stable with respect to the incoming supersonic flow and the obstacle if Lax' shock inequality holds, if the flow remains supersonic, and if the shock strength (i.e., density jump) is low (according to the given inequality). Existence is proved if the obstacle is a small perturbation of a cone and the flow is a slightly perturbed uniform flow.