A geometrical constraint for capillary jet breakup
type: Item
instance of: scholarly article
title: A geometrical constraint for capillary jet breakup
zbMATH Open document ID: 1061.35074
author: Antonio Córdoba
author: Diego Córdoba
author: Charles Fefferman
author: Marco A. Fontelos
published in: Advances in Mathematics
publication date: 2004-08-19T00:00:00Z
review text: Using the Navier-Stokes equations of a Newtonian fluid in a bounded domain limited by a free surface together with boundary condition, which consider the effect of the surface tension, and also using an appropriate kinematic condition for the evolution of the boundary, the authors prove that the uniform collapse of a filament is impossible. Moreover, it is found a time-dependent non trivial lower bound for the volume of fluid enclosed by the filaments.
reviewed by: Mariano Rodríguez Ricard
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D25
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 76D45
zbMATH DE Number: 2093009
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: singularities
zbMATH Keywords: Newtonian fluid
zbMATH Keywords: surface tension
zbMATH Keywords: filament
MaRDI profile type: Publication
full work available at URL: j.aim.2003.08.009
OpenAlex ID: W1979303664
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cites work: Axisymmetric free boundary problems
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DOI: 10.1016/J.AIM.2003.08.009
description: scientific article; zbMATH DE number 2093009