Nonstationary vortex surface waves
type: Item
instance of: scholarly article
title: Nonstationary vortex surface waves
zbMATH Open document ID: 0878.76012
DOI: 10.1007/BF02106744
author: V. I. Nalimov
published in: Siberian Mathematical Journal
publication date: 1997-06-18T00:00:00Z
review text: We study the initial-boundary value problem in Sobolev spaces for the system of equations describing the dynamics of plane vortex surface waves. We establish that the condition for time-local well-posedness coincides with a similar condition for the problem of vortex-free waves: the pressure gradient on the free surface must point inside the fluid.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1023893
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: condition for time-local well-posedness
MaRDI profile type: Publication
cites work: Q5602343
cites work: Q4096028
cites work: Q4061809
cites work: Gravity waves on the free surface of an incompressible perfect fluid of finite depth
cites work: A model problem of vortical surface waves
cites work: Q5614166
full work available at URL: https://doi.org/10.1007/bf02106744
OpenAlex ID: W2043655436
description: scientific article; zbMATH DE number 1023893