The lower bound of the eigenfrequencies of plane oscillations of a fluid in a channel

DOI10.1016/0021-8928(92)90086-NzbMath0785.76013OpenAlexW2137627226MaRDI QIDQ1314164

Nikolay Kuznetsov

Publication date: 3 March 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(92)90086-n

zbMATH Keywords

radiationuniquenessscatteringconstant cross-sectionprinciple of monotony

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

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• Sloshing frequencies
• Lower estimates of the characteristic frequencies of the oscillations of a liquid with a free surface in channels of arbitrary cross-section
• A variational method of determining the eigenfrequencies of a liquid in a channel
• A Nodal Line Theorem for the Sloshing Problem
• Introduction to the Theory of Oscillations of Liquid-Containing Bodies
• Lower bounds for sloshing frequencies

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