Large-time behavior of smooth solutions to the isothermal compressible fluid models of Korteweg type with large initial data
type: Item
instance of: scholarly article
title: Large-time behavior of smooth solutions to the isothermal compressible fluid models of Korteweg type with large initial data
zbMATH Open document ID: 1350.35152
author: Zhengzheng Chen
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2016-08-18T00:00:00Z
review text: In this article the author considers the large-time behavior of smooth solutions of the Cauchy problem for the 1D barotropic compressible Navier-Stokes-Korteweg system with density dependent viscosities. Depending whether the far-field of the data are the same when \(x\to\pm\infty\) or not, he proves that the problem admits a unique global smooth solution tending either to a constant state, or a rarefaction wave for large times.
reviewed by: Bernard Ducomet
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6618027
zbMATH Keywords: 35Q35 35L65 35B40
MaRDI profile type: Publication
full work available at URL: j.na.2016.06.009
OpenAlex ID: W2462601294
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DOI: 10.1016/J.NA.2016.06.009
description: scientific article; zbMATH DE number 6618027