Asymptotic stability of periodic solution for compressible viscous van der Waals fluids

Jinyang Huang; Xiaoding Shi; Xiao Ping Wang; Bing Zhang

doi:10.1007/s10255-014-0430-8

Asymptotic stability of periodic solution for compressible viscous van der Waals fluids

Jinyang Huang, Xiaoding Shi, Xiao Ping Wang, Bing Zhang

The Hong Kong University of Science and Technology

Research output: Contribution to journal › Journal Article › peer-review

8 Citations (Scopus)

Abstract

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 -> a.

Original language	English
Pages (from-to)	1113-1120
Journal	Acta Mathematicae Applicatae Sinica
Volume	v. 30
DOIs	https://doi.org/10.1007/s10255-014-0430-8
Publication status	Published - Jan 2014

Keywords

Van der Waals fluid
Asymptotic stability
Global solution

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10.1007/s10255-014-0430-8

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title = "Asymptotic stability of periodic solution for compressible viscous van der Waals fluids",

abstract = "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 -> a.",

keywords = "Van der Waals fluid, Asymptotic stability, Global solution",

author = "Jinyang Huang and Xiaoding Shi and Wang, \{Xiao Ping\} and Bing Zhang",

year = "2014",

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doi = "10.1007/s10255-014-0430-8",

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AU - Huang, Jinyang

AU - Shi, Xiaoding

AU - Wang, Xiao Ping

AU - Zhang, Bing

PY - 2014/1

Y1 - 2014/1

N2 - 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 -> a.

AB - 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 -> a.

KW - Van der Waals fluid

KW - Asymptotic stability

KW - Global solution

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UR - https://openalex.org/W1990576897

UR - https://www.scopus.com/pages/publications/84911467966

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VL - v. 30

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JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

ER -

Asymptotic stability of periodic solution for compressible viscous van der Waals fluids

Abstract

Keywords

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