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A variational principle for nonlinear water waves - MaRDI portal

A variational principle for nonlinear water waves (Q1099698)

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scientific article; zbMATH DE number 4041432
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English
A variational principle for nonlinear water waves
scientific article; zbMATH DE number 4041432

    Statements

    A variational principle for nonlinear water waves (English)
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    1988
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    This paper is concerned with a variational formulation of non- axisymmetric water waves and of two-dimensional surface waves in a running stream of finite depth. The full set of equations of motions for the non-axisymmetric water wave problem in cylindrical polar coordinates and for the two-dimensional surface waves in the running stream in Cartesian coordinates is obtained from a Lagrangian function which is equal to the pressure.
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    inviscid irrotational fluid flow
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    variational formulation of non- axisymmetric water waves
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    two-dimensional surface waves
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    running stream of finite depth
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    Lagrangian function
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