A variational principle for nonlinear water waves
type: Item
instance of: scholarly article
title: A variational principle for nonlinear water waves
zbMATH Open document ID: 0638.76015
DOI: 10.1007/BF01176549
published in: Acta Mechanica
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 49S05
zbMATH DE Number: 4041432
zbMATH Keywords: inviscid irrotational fluid flow
zbMATH Keywords: variational formulation of non- axisymmetric water waves
zbMATH Keywords: two-dimensional surface waves
zbMATH Keywords: running stream of finite depth
zbMATH Keywords: Lagrangian function
author: Lokenath Debnath
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01176549
OpenAlex ID: W1977980590
description: scientific article; zbMATH DE number 4041432