Theory of nonstationary interaction between pressure waves in a fluid and unclosed surfaces (Q1081463)

Problems of nonstationary scattering of incident waves by unclosed surfaces have been solved in the general formulation under the usual assumptions of the linear mechanics of ideal compressible fluids. This paper outlines a method which leads to the construction of the Laplace transforms of the unknown solutions and is based on a unique means of satisfying the boundary conditions with the subsequent obtaining of exact expressions for the coefficients (densities) of the expansions employed. The Laplace transforms of the solutions can be inverted by any approximate method. The solutions constructed are in satisfactory agreement with the experimental data and coincide with the classical results.