Asymptotic Shallow Water Models for Internal Waves in a Two-Fluid System with a Free Surface
Asymptotic Shallow Water Models for Internal Waves in a Two-Fluid System with a Free Surface
In this paper, we derive asymptotic models for the propagation of two and three-dimensional gravity waves at the free surface and the interface between two layers of immiscible fluids of different densities, over an uneven bottom. We assume the thickness of the upper and lower fluids to be of comparable …