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Asymptotic stability of degenerate stationary solution to a system of viscousconservation laws in half line
- Source :
- AIMS Mathematics, Vol 3, Iss 1, Pp 35-43 (2018)
- Publication Year :
- 2018
- Publisher :
- AIMS Press, 2018.
-
Abstract
- In this paper, we study a system of viscous conservation laws given by a form of a symmetricparabolic system. We consider the system in the one-dimensional half space and show existence ofa degenerate stationary solution which exists in the case that one characteristic speed is equal to zero.Then we show the uniform a priori estimate of the perturbation which gives the asymptotic stability ofthe degenerate stationary solution. The main aim of the present paper is to show the a priori estimatewithout assuming the negativity of non-zero characteristics. The key to proof is to utilize the Hardyinequality in the estimate of low order terms.
- Subjects :
- Conservation law
General Mathematics
lcsh:Mathematics
Degenerate energy levels
Mathematical analysis
Perturbation (astronomy)
stationary waves| boundary layer solutions| compressible viscous gases| energy method| center manifold theory
A priori estimate
Half-space
lcsh:QA1-939
Standing wave
Exponential stability
A priori and a posteriori
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 3
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- AIMS Mathematics
- Accession number :
- edsair.doi.dedup.....5fe997787391b44225be4e9cdffe9b97