Global existence and exponential stability for the compressible Navier-Stokes equations with discontinuous data
type: Item
instance of: scholarly article
title: Global existence and exponential stability for the compressible Navier-Stokes equations with discontinuous data
zbMATH Open document ID: 1378.35219
author: Huihui Kong
author: Chuangchuang Liang
author: Guojing Zhang
author: Hai-Liang Li
published in: Journal of Differential Equations
publication date: 2017-08-03T00:00:00Z
review text: The compressible Navier-Stokes system is studied in the case when the initial density has a jump discontinuity across a closed curve in the two-dimensional bounded domain. The authors prove the global existence, and establish the large time behavior of piecewise strong solution, including the fact that the jump of the fluid density across the convecting curve decays exponentially in time.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 6756313
zbMATH Keywords: compressible Navier-Stokes equations
zbMATH Keywords: discontinuous density
zbMATH Keywords: global existence
zbMATH Keywords: large time behavior
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: j.jde.2017.05.031
OpenAlex ID: W2718404816
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DOI: 10.1016/J.JDE.2017.05.031
description: scientific article; zbMATH DE number 6756313