Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-12-04T10:04:54.408Z Has data issue: false hasContentIssue false

Initial–boundary-value problems for one-dimensional compressible Navier–Stokes equations with degenerate transport coefficients

Published online by Cambridge University Press:  16 March 2017

Qing Chen
Affiliation:
School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, People's Republic of China (chenqing@xmut.edu.cn)
Huijiang Zhao
Affiliation:
School of Mathematics and Statistics, and Computational Science Hubei Key Laboratory, Wuhan University, Wuhan 430072, People's Republic of China (hhjjzhao@hotmail.com)
Qingyang Zou
Affiliation:
College of Science, Wuhan University of Science and Technology, Wuhan 430081, People's Republic of China (qyzou@whu.edu.cn)

Extract

This paper is concerned with the construction of global, non-vacuum, strong, large amplitude solutions to initial–boundary-value problems for the one-dimensional compressible Navier–Stokes equations with degenerate transport coefficients. Our analysis derives the positive lower and upper bounds on the specific volume and the absolute temperature.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)