2004-Fez conference on Differential Equations and Mechanics.
Electronic Journal of Differential Equations,
Conference 11, 2004, pp. 109-116.

Title: On a problem of shallow water type

Authors: Mohamed El Alaoui Talibi (Faculte des Sciences Semlalia, Maroc)
         Moulay Hicham Tber (Faculte des Sciences Semlalia, Maroc)
 
Abstract: 
 In this paper we present an existence theorem for a problem of
 shallow water kind. We take into account a general friction
 term depending on water depth and the norm of velocity, which is
 the main difficulty. We present also a numerical study in the case
 which we consider the above problem as a perturbation of shallow
 water equations in the non conservative dept-mean velocity form.

Published October 15, 2004.
Math Subject Classifications: 35Q30, 76D03, 76B15, 76M10, 65M25, 65M60.
Key Words: Shallow water equations; friction in the bottom; existence result;
Galerkin method; finite element method; characteristics method.