On the free boundary problem for stationary compressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: On the free boundary problem for stationary compressible Navier-Stokes equations
zbMATH Open document ID: 0715.35088
DOI: 10.1007/BF02096785
author: Wojciech M. Zajączkowski
author: K. Pileckas
published in: Communications in Mathematical Physics
publication date: 1990-01-01T00:00:00Z
review text: The existence of rotationally symmetric solutions to a stationary free boundary value problem for the motion of a drop of a viscous compressible barotropic fluid is shown. An a priori estimate leads to the proof of the existence of Sobolev space solutions to a Navier-Stokes system in a prescribed domain. In a second step the existence of a free boundary for given velocity and pressure is found in Sobolev-Slobodetskii spaces.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 4177746
zbMATH Keywords: viscous compressible barotropic fluid
reviewed by: Hansgeorg Jeggle
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02096785
OpenAlex ID: W2052528765
description: scientific article; zbMATH DE number 4177746