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Article information
2005 , Volume 10, ¹ 2, p.3-14
Boudlal A., Liapidevskii V.Y.
Stability of regular roll waves
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.
[full text] Author(s):
Boudlal A.
Office: Laboratoire de Mecanique de Lille
Address: France, Cedex
E-mail: abdelaziz.boudlal@univ-lillel.fr
Liapidevskii Valery Yurievich
Dr. , 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
Bibliography link:
Boudlal A., Liapidevskii V.Y. Stability of regular roll waves // Computational technologies. 2005. V. 10. ¹ 2. P. 3-14
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