Bounds for water waves
type: Item
instance of: scholarly article
title: Bounds for water waves
zbMATH Open document ID: 0635.76012
DOI: 10.1007/BF00275873
published in: Archive for Rational Mechanics and Analysis
publication date: 1987-01-01T00:00:00Z
review text: This paper presents a fairly sharp bound for solutions to Nekrasov's equation [\textit{A. I. Nekrasov}: On steady waves. Izv. Ivanovo-Voznesensk. Politekhn. 3, 52-65 (1921)]. This equation arises from the following physical situation: consider two-dimensional waves on the surface of an incompressible, inviscid fluid acted upon by gravity. The flow is to be irrotational, and the waves move from left to right without change of form and with a constant velocity. By transforming to a moving coordinate system, the flow becomes steady and Bernoulli's Theorem holds. If the effect of surface tension is neglected, then the pressure will be constant on the (unknown) free surface.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4035383
zbMATH Keywords: maximum principle
zbMATH Keywords: periodic solutions
zbMATH Keywords: two-dimensional waves
zbMATH Keywords: incompressible, inviscid fluid
zbMATH Keywords: Bernoulli's Theorem
author: Charles J. Amick
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00275873
OpenAlex ID: W1973661694
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description: scientific article; zbMATH DE number 4035383