Upper bound on the slope of steady water waves with small adverse vorticity
type: Item
instance of: scholarly article
title: Upper bound on the slope of steady water waves with small adverse vorticity
zbMATH Open document ID: 1421.35292
author: Seung Wook So
author: Walter A. Strauss
published in: Journal of Differential Equations
publication date: 2018-01-19T00:00:00Z
review text: The authors study the upper bound on the angle of inclination of the profile of a steady 2D inviscid symmetric periodic or solitary water wave subject to gravity. Some upper bounds of the angle are known in the cases of irrotational waves and favorable vorticity. In this paper, the authors proved that the upper bound of the angle is slightly larger than \(45^\circ\), if the adverse vorticity is sufficiently small.
reviewed by: Cheng He
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 6827617
zbMATH Keywords: steady water waves
zbMATH Keywords: upper bound
zbMATH Keywords: adverse vorticity
zbMATH Keywords: angle of inclination
MaRDI profile type: Publication
full work available at URL: j.jde.2017.12.007
OpenAlex ID: W2772379419
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DOI: 10.1016/J.JDE.2017.12.007
description: scientific article; zbMATH DE number 6827617