In this paper, we address the question of the hyperbolicity and the local wellposedness of the multi-layer shallow water model, with free surface, in two dimensions. We first provide a general criterion that proves the symmetrizability of this model, which implies hyperbolicity and local well-posedness in Hs(R2), with s > 2. Then, we analyze rigorously the eigenstructure associated to this mode...

The purpose of this paper is to present a shallow-water-type model with multiple inhomogeneous layers featuring variable linear velocity vertical shear and startificaion in horizontal space time. This achieved by writing the layer buoyancy fields as functions depth, coefficients that depend arbitrarily on position generalization Ripa's (1995) single-layer an arbitrary number layers. Unlike mode...

Estimation of the potential consequences from events occurring downstream a dam is part risk assessment needed during installation phase new dam. In case specific natural or man-made ongoing prospected events, it may also be important to carry out fast computations that can provide information on areas at either because original design analyses are not available parameters different. This study...