A variational method of determining the eigenfrequencies of a liquid in a channel

DOI10.1016/0021-8928(90)90056-GzbMath0742.76014MaRDI QIDQ1185622

Nikolay Kuznetsov

Publication date: 28 June 1992

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

zbMATH Keywords

eigenvaluesfree oscillationsfree surfacechannelvariational methodspectral problem

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Variational methods applied to problems in fluid mechanics (76M30)

Related Items (2)

An isoperimetric sloshing problem in a shallow container with surface tension ⋮ The lower bound of the eigenfrequencies of plane oscillations of a fluid in a channel

Cites Work

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• Sloshing frequencies
• An isoperimetric inequality for the first eigenfunction in the fixed membrane problem
• Remarks on courant's nodal line theorem
• A Nodal Line Theorem for the Sloshing Problem
• ON SIGN VARIATION AND THE ABSENCE OF "STRONG" ZEROS OF SOLUTIONS OF ELLIPTIC EQUATIONS
• Introduction to the Theory of Oscillations of Liquid-Containing Bodies

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