On the problem of a steady fall of a drop in a liquid medium
type: Item
instance of: scholarly article
title: On the problem of a steady fall of a drop in a liquid medium
zbMATH Open document ID: 0951.35110
published in: Journal of Mathematical Fluid Mechanics
publication date: 2000-03-19T00:00:00Z
review text: The author considers a stationary free boundary problem for the Navier-Stokes equations which models the fall of a drop in a liquid medium. The unknowns of the problem are the velocity and the pressure inside and outside the drop, the surface of the drop and the (constant) velocity of the fall. The author proves the existence of a symmetric solution in two and three space dimensions provided that the densities of both liquids are close to each other.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D27
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 1417586
zbMATH Keywords: stationary free boundary problem
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: existence of a symmetric solution
author: V. A. Solonnikov
reviewed by: Klaus Deckelnick
MaRDI profile type: Publication
full work available at URL: s000210050014
OpenAlex ID: W2007005865
DOI: 10.1007/S000210050014
description: scientific article; zbMATH DE number 1417586