Singular shocks. (English) Zbl 0546.76086

Taub, A. H.

Math. Today 1, 25-42 (1983).

In this paper I shall discuss some properties of the solutions of the equations of motion of a perfect selfgravitating fluid behind a shock wave. These will be used to determine conditions that must occur at points on the shock front and at events on \(\Sigma\), the hypersurface describing its history, at which the normal to the shock, its extrinsic curvature, or derivatives of this curvature, are discontinuous. Shocks containing such points will be said to be singular at these singular points.

MSC:

76L05	Shock waves and blast waves in fluid mechanics
85A40	Cosmology

Keywords:

singular shocks; motion of a perfect selfgravitating fluid behind a shock wave; shock front; hypersurface describing its history; singular points