The equation of axisymmetric buoyancy oscillations in an ideal liquid (Q2761318)
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scientific article; zbMATH DE number 1683367
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The equation of axisymmetric buoyancy oscillations in an ideal liquid |
scientific article; zbMATH DE number 1683367 |
Statements
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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0.8440579
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0.83605254
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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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