Large-time regularity of viscous surface waves
type: Item
instance of: scholarly article
title: Large-time regularity of viscous surface waves
zbMATH Open document ID: 0545.76029
DOI: 10.1007/BF00250586
published in: Archive for Rational Mechanics and Analysis
publication date: 1984-01-01T00:00:00Z
review text: The incompressible fluid which obeys Navier-Stokes equations is subject to surface tension on its upper boundary. It is shown that singularities cannot develop in flows of sufficiently small amplitudes. A unique solution exists for all times in a space defined by Sobolev norms provided the initial state is close to equilibrium.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 3868841
zbMATH Keywords: surface waves
zbMATH Keywords: surface tension
zbMATH Keywords: singularities
zbMATH Keywords: unique solution
zbMATH Keywords: Sobolev norms
zbMATH Keywords: initial state is close to equilibrium
author: J. Thomas Beale
reviewed by: Guy Boillat
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3868841