Stability of periodic travelling waves of finite amplitude is investigated for the inhomogeneous hyperbolic equations of the gas dynamic type. A criterion for stability is formulated in terms of the hyperbolicity of the modulation equations for the periodic wave packets (roll waves). Asymptotic formulae for nonlinear stability in the cases of infinitesimal roll waves as well as for the wave of maximum amplitude are derived. Stability diagrams for flows in inclined self-similar channels are presented.
Author(s):
Boudlal A. Office: Laboratoire de Mecanique de Lille
Address: France, Cedex
E-mail: abdelaziz.boudlal@univ-lillel.fr
Liapidevskii Valery YurievichDr. , Associate Professor
Position: General Scientist
Office: Lavrentyev Institute of Hydrodynamics SB RAS
Address: 630090, Russia, Novosibirsk
Phone Office: (3833) 33 24 59
E-mail: liapid@hydro.nsc.ru
SPIN-code: 7927-6719
