On free boundary problems with moving contact points for the stationary two-dimensional Navier-Stokes equations
type: Item
instance of: scholarly article
title: On free boundary problems with moving contact points for the stationary two-dimensional Navier-Stokes equations
zbMATH Open document ID: 0872.35132
DOI: 10.1007/BF02399944
published in: Journal of Mathematical Sciences (New York)
publication date: 1997-09-21T00:00:00Z
full work available at URL: https://eudml.org/doc/68450
review text: The solvability of the problem of a slow drying of a plane capillary in a classical formulation (with adherence condition on the rigid wall) is established. The proof is based on a detailed study of the asymptotics of the solution in the neighbourhood of a contact point of the free boundary with the moving wall, including estimates of coefficients in well known asymptotic formulas. It is shown that the solution of the problem with finite dissipation energy exists only when the contact angle equals \(\pi \).
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 996213
zbMATH Keywords: moving contact points
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: existence
author: V. A. Solonnikov
MaRDI profile type: Publication
cites work: Q3364111
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description: scientific article; zbMATH DE number 996213