An interface problem: The two-layer shallow water equations
Mădălina Petcu, Roger Témam · Discrete and Continuous Dynamical Systems · 2013
The aim of this article is to study a model of two superposed layers of fluid governed by the shallow water equations in space dimension one. Under some suitable hypotheses the governing equations are hyperbolic. We introduce suitable boundary conditions and establish a result of existence and uniqueness of smooth solutions for a limited time for this model.