Abstract

Nonlinear Stability of Roll Waves

A.Boudlal (USTL-Lab. Mec.-Lille1, Departent de Mecanique Fondamentale, Villeneuve d'Ascq, France); V.Yu.Liapidevskii (Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia)

e-mail: Abdelaziz.Boudlal@univ-lille1.fr

The stability of finite amplitude roll waves that may develop at a liquid free surface in inclined open channels of arbitrary cross-section is studied. In the frame of shallow water theory with turbulent friction the modulation equations for wave series are derived and a nonlinear stability criterion is obtained.

Section : 7