Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth (Q1586750)

Summary: This paper is concerned with a Cauchy-Poisson problem for a weakly stratified ocean of uniform finite depth bounded above by an initial surface. The inertial surface is composed of a thin but uniform distribution of noninteracting materials. The techniques of Laplace transform in time and either Green's integral theorem or Fourier transform have been utilized to obtain the form of inertial surface in terms of an integral. We obtain the asymptotic behaviour of the inertial surface for large time and distance, and display it graphically. Finally, we discuss the effect of stratification.