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Generations of waves at an inertial surface due to explosions. (English) Zbl 0699.76016

Summary: This paper is concerned with the generation of surface waves by an axially symmetric initial disturbance applied at an inertial surface in an ocean of finite depth. This initial disturbance can be either in the form of an impulse or an elevation or depression. The depression of the inertial surface is obtained as an infinite integral in each case. The method of stationary phase is applied to evaluate the integral for large values of time and distance.

MSC:

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
35Q99 Partial differential equations of mathematical physics and other areas of application