Waves due to a moving oscillatory surface pressure in a layered fluid of finite depth
The two-dimensional initial-value problem of waves due to an oscillatory pressure distribution moving uniformly on the surface of a two-layered fluid of finite depth is solved by the integral transform method. Asymptotic analysis of the infinite integrals for both the surface and the interfacial waves are given for large distances and times. It is noted that the stratification sharply changes the number and the character of the progressive waves and also introduces two critical speeds instead of one as found for a homogeneous fluid. At these speeds the solution becomes singular.
Asymptotic analysis of the infinite integrals
scientific article; zbMATH DE number 4027108