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A variational method of determining the eigenfrequencies of a liquid in a channel - MaRDI portal

A variational method of determining the eigenfrequencies of a liquid in a channel (Q1185622)

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scientific article; zbMATH DE number 35682
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A variational method of determining the eigenfrequencies of a liquid in a channel
scientific article; zbMATH DE number 35682

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    A variational method of determining the eigenfrequencies of a liquid in a channel (English)
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    28 June 1992
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    Plane free oscillations of a liquid in channels of constant cross-section are considered. The spectral problem whose eigenfunctions are the stream functions is investigated for the first time in this setting. The eigenvalues of the spectral parameter occurring in the boundary condition on the free surface are determined by a variational method. The properties of the stream functions are identified, and these properties can be used to reconstruct the flow pattern.
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    free oscillations
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    channel
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    spectral problem
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    eigenvalues
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    free surface
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    variational method
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