Free boundary value problem for the axisymmetric fluid's flow with surface tension and wedging forces
type: Item
instance of: scholarly article
title: Free boundary value problem for the axisymmetric fluid's flow with surface tension and wedging forces
zbMATH Open document ID: 0920.35172
DOI: 10.4171/ZAA/860
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1999-03-28T00:00:00Z
review text: Summary: A free boundary value problem with surface tension and wedging forces is considered. From the mathematical point of view it leads to a boundary value problem in which the mean and Gauss curvatures appear in the boundary condition on the unknown surface. The variational problem is formulated and it is proved that its solution is the solution of the free boundary value problem. Infinite smoothness of the free surface is proved and it is also proved that the curve generating the free surface is analytic for some values of the problem parameters.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 1270171
zbMATH Keywords: Gauss curvature
zbMATH Keywords: mean curvature
zbMATH Keywords: Orlicz spaces
zbMATH Keywords: Schauder estimates
zbMATH Keywords: surface tension
zbMATH Keywords: wedging forces
zbMATH Keywords: smoothness of the free surface
author: Evgeni Shcherbakov
MaRDI profile type: Publication
cites work: Existenzbeweis für permanente Kapillarwellen einer schweren Flüssigkeit entlang eines Kanals
cites work: Q4091004
cites work: Q5565773
cites work: Q3708392
cites work: Q3678248
cites work: Q5810770
cites work: Axially symmetric cavitational flow
cites work: Q5799972
cites work: Q3905599
cites work: Q3230021
cites work: Isoperimetric Inequalities in Mathematical Physics. (AM-27)
cites work: Q3843794
description: scientific article; zbMATH DE number 1270171