The interaction between a shock wave and the free surface of a liquid

The motion of the front of a plane arbitrary shock wave over the free surface of a liquid with a rectilinear inclined base is considered. The problem reduces to a boundary-value problem in the theory of analytic functions with discontinuous coefficients.
The problem of what happens when a plane shock wave, travelling along a smooth wall, reaches the free surface of the liquid is discussed. It is shown that the problem can be studied linearly. This is done both for the gas and the liquid. The form of the free surface of the liquid, the pressure distribution, and the form of the shock wave, are found.