Asymptotic Stability of Periodic Solution for Compressible Viscous van der Waals Fluids

This paper is concerned with the asymptotic stability of the periodic solution to a one-dimensional model system for the compressible viscous van der Waals fluid in Eulerian coordinates. If the initial density and initial momentum are suitably close to the average density and average momentum, then...

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Bibliographic Details
Published in:Acta Mathematicae Applicatae Sinica 2014-10, Vol.30 (4), p.1113-1120
Main Authors: Huang, Jin-yang, Shi, Xiao-ding, Wang, Xiao-ping, Zhang, Bing
Format: Article
Language:English
Subjects:
Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
初始密度
可压缩
周期解
平均密度
模型系统
流体
渐近稳定性
粘性
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Summary:This paper is concerned with the asymptotic stability of the periodic solution to a one-dimensional model system for the compressible viscous van der Waals fluid in Eulerian coordinates. If the initial density and initial momentum are suitably close to the average density and average momentum, then the solution is proved to tend toward a stationary solution as t -→∞.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-014-0430-8