Regular reflection of a strong shock wave by the surface of a wedge (Q1064222)

Experimental investigations [\textit{T. V. Vazhenova} and \textit{L. G. Gvozdeva}, Time-dependent interactions of shock waves, Nauka, Moscow (1977)] show that when allowance is made for the real properties of a gas it is possible to have a regime of regular reflection of a shock wave from the surface of a wedge in which the reflected shock wave is attached to the tip of the wedge. In the present paper, which uses perturbation theory in a form close to a modified small-parameter method [\textit{A. L. Gonor} and \textit{N. A. Ostapenko}, Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza 1972, no.3, 104-116 (1972; Zbl 0254.76074)], an approximate analytic solution is constructed to the problem of the interaction of a strong shock wave with the surface of a wedge for such a regime. In contrast to the problem considered by us in an earlier paper [the authors, ibid. 1974, no. 5, 55-61 (1974; Zbl 0302.76045)], the half-angle at the tip of the wedge is not assumed to be small.