Plane self-similar problems involving motion of an obtuse wedge in a compressible fluid

Solution of a number of self-similar problems the formulations of which assume the presence of shock waves created by the motion of an obtuse wedge in a compressible fluid. The problems discussed include the problem of the passage of a wall discontinuity point through the free surface of a compressible fluid, the Hilbert problem to which this problem reduces, the problem of the immersion of an obtuse wedge into a compressible fluid, and the problem of an instantaneously starting motion of an obtuse wedge with a constant velocity.