Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Novosibirsk participants

Stability of roll waves of maximal amplitude

Liapidevskii V.Y.

Lavrentyev Institute of Hydrodynamics (Novosibirsk)

Shallow water theory of roll wave generation in open channels and tubes with elastic walls is considered. The modulation equations for nonlinear wave trains are derived and their stability criterion is formulated. An asimptotic representation of the stability region for roll waves of maximal amplitute is given.

Full Text in Russian: PDF (366 kb)
Note. Abstracts are published in author's edition

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