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The equation of axisymmetric buoyancy oscillations in an ideal liquid - MaRDI portal

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The equation of axisymmetric buoyancy oscillations in an ideal liquid (Q2761318)

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scientific article; zbMATH DE number 1683367
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English
The equation of axisymmetric buoyancy oscillations in an ideal liquid
scientific article; zbMATH DE number 1683367

    Statements

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    18 December 2001
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    ideal incompressible stratified liquid
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    axisymmetric motion
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    asymptotic behavior
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    series solution
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    linear approximation
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    stationary solution
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    gravity
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    nonlinear fourth-order partial differential equation
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    The equation of axisymmetric buoyancy oscillations in an ideal liquid (English)
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    The paper treats an axisymmetric motion of ideal incompressible stratified liquid in gravity field. For the derived nonlinear fourth-order partial differential equation, the author constructs in the linear approximation a class of stationary solutions. The asymptotic behavior of these solutions is studied at small and large distances from the axis of symmetry.
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    Identifiers