Global boundary controllability of the de St. Venant equations between steady states

We consider the problem of exactly controlling the states of the de St. Venant equations from a given constant state to another constant state by applying nonlinear boundary controls. During this transition the solution stays in the class of Cl-solutions. There are no restrictions on the distance between the initial state and the target state, so our result is a global controllability result for a nonlinear hyberbolic system. (C) 2003 Editions scientifiques et medicales Elsevier SAS.