Initial asymptotics in contact hydrodynamics problems

This paper investigates an initial stage of an unsteady motion of a liquid due to blunt body penetration into it. Initially the liquid is at rest and the body touches its free boundary at a single point. It is appropriate to use the method of matched asymptotic expansions. This allows this complicated problem to be reduced to consideration of its simplest elements with some effects (such as nonlinearity, compressibility of liquid, elasticity of a submerging structure and so on) being taken into account only within the domains where they are most significant. This approach to solving the problem is applicable for investigation of a wide class of problems having to do with interaction between a solid body and a free surface.