A priori estimates of local solutions to compressible Navier-Stokes equations with free boundary
type: Item
instance of: scholarly article
title: A priori estimates of local solutions to compressible Navier-Stokes equations with free boundary
zbMATH Open document ID: 1447.35248
author: Huihui Kong
author: Chuangchuang Liang
published in: Journal of Mathematical Analysis and Applications
publication date: 2019-11-28T00:00:00Z
review text: The authors are concerned with the vacum free boundary problem of the compressible Navier-Stokes system in 2D. By using Lagrangian variables, they present a priori estimates of local-in-ime solutions in an appropriate Sobolev space. The main objetive of this article consists in the study of the physical vacuum free surface problem without imposing the symmetry condition. The strategy for handling such problems is nearly the same every time. It starts with the transition of the original domain having free boundaries to a fixed domain in Lagrangian coordinates. Then the considerations are realized in that domain. A lot of modern techniques come to an application. The paper is a very technical one. It is not easy to read such a paper because many estimates occcure througout the paper. The article under consideration contains 20 well choosen references that give a good survey on the state of the art.
reviewed by: Jürgen Socolowsky
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 7138373
zbMATH Keywords: compressible Navier-Stokes
zbMATH Keywords: free boundary
zbMATH Keywords: a priori estimates
MaRDI profile type: Publication
full work available at URL: j.jmaa.2019.123506
OpenAlex ID: W2975223488
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DOI: 10.1016/J.JMAA.2019.123506
description: scientific article; zbMATH DE number 7138373