A FAMILY OF ASYMPTOTIC MODELS FOR INTERNAL WAVES PROPAGATING IN INTERMEDIATE/DEEP WATER

摘要

In this paper, we obtain a family of approximate systems of two partial differential equations for the modeling of weakly nonlinear long internal waves propagating at the interface between two immiscible and irrotational fluids in a channel of intermediate/infinite depth. These systems are approximations of the system of Euler equations that share the same asymptotic order.