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Upper and lower bounds for sloshing frequencies by intermediate problems

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Publication:1172972
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DOI10.1007/BF00946978zbMath0502.76024MaRDI QIDQ1172972

David W. Fox, James R. Kuttler

Publication date: 1981

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)


zbMATH Keywords

free surfaceconformal transformationslinear eigenvalue problemcanalhorizontal cylindrical tanksmall plane irrotational oscillationstwo-dimensional sloshing


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Incompressible inviscid fluids (76B99)


Related Items

Sloshing eigenvalues of two-dimensional regions with holes, Sloshing frequencies



Cites Work

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  • Lower bounds to eigenvalues using operator decompositions of the form \(B*B\)
  • Methods of intermediate problems for eigenvalues. Theory and ramifications
  • Sloshing frequencies for a half-space with circular or strip-like aperture
  • Truncations in the method of intermediate problems for lower bounds to eigenvalues
  • Bounds to Eigenvalues of Rhombical Membranes
  • Computational Methods for Determining Lower Bounds for Eigenvalues of Operators in Hilbert Spaces
  • Lower bounds for sloshing frequencies
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