Well-posedness and analyticity of solutions to a water wave problem with viscosity
type: Item
instance of: scholarly article
title: Well-posedness and analyticity of solutions to a water wave problem with viscosity
zbMATH Open document ID: 1406.35293
author: Marième Ngom
author: David P. Nicholls
published in: Journal of Differential Equations
publication date: 2018-09-04T00:00:00Z
review text: This paper deals with a system of equations governing the motion of 2D periodic gravity capillary waves on a liquid of certain depth. The well posedness of the potential flow with dissipation is studied; indeed, for certain initial data, it is argued that unique solutions exist globally in time and decay exponentially fast to zero.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 35R37
Mathematics Subject Classification ID: 76D09
Mathematics Subject Classification ID: 76D33
Mathematics Subject Classification ID: 76D45
Mathematics Subject Classification ID: 35B20
zbMATH DE Number: 6931733
zbMATH Keywords: water wave problem
zbMATH Keywords: viscous surface water waves
zbMATH Keywords: existence and uniqueness of solutions
zbMATH Keywords: analytic dependence
MaRDI profile type: Publication
full work available at URL: j.jde.2018.06.030
OpenAlex ID: W2810649385
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Wikidata QID: Q129621135
DOI: 10.1016/J.JDE.2018.06.030
description: scientific article; zbMATH DE number 6931733