Vibrations of a compressible fluid in a cavity closed by a membrane supported by a screen (Q1891893)

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scientific article; zbMATH DE number 761057
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Vibrations of a compressible fluid in a cavity closed by a membrane supported by a screen
scientific article; zbMATH DE number 761057

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    Vibrations of a compressible fluid in a cavity closed by a membrane supported by a screen (English)
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    13 December 1995
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    Vibrations of a compressible fluid in a cavity of an arbitrary form closed by membrane supported by a screen are studied. The equations governing the behaviour of a system are obtained. When the cavity has cylindrical form, explicit expressions for eigenvalues are given. In the general case, a variational formulation is proposed and the existence of eigenvalues is proved.
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    cylindrical cavity
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    variational formulation
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    existence of eigenvalues
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