PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS

doi:10.1137/21M1421489

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	PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS
	Yuan, Qian1 ; Yuan, Yuan 2
	2022
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	54 期号:3 页码:2876-2905
摘要	This paper is concerned with the asymptotic stability of a composite wave of two viscous shocks under spatially periodic perturbations for the 1-d full compressible Navier--Stokes equations. It is proved that as time increases, the solution approaches the background composite wave with a shift for each shock, where the shifts can be uniquely determined if both the periodic perturbations and strengths of two shocks are small. The key of the proof is to construct a suitable ansatz such that the antiderivative method works.
关键词	compressible Navier--Stokes equations viscous shock waves composite waves periodic perturbations
DOI	10.1137/21M1421489
收录类别	SCI
语种	英语
资助项目	China Postdoctoral Science Foun-dation[2019M660831] ; China Postdoctoral Science Foun-dation[2020TQ0345] ; National Natural Science Foundation of China[11901208] ; National Natural Science Foundation of China[11971009] ; Natural Science Foundation of Guangdong Province, China[2021A1515010247] ; National Key R\&D Program of China[2021YFA1002900]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000803887700007
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61428
专题	应用数学研究所博士后
通讯作者	Yuan, Yuan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Qian,Yuan, Yuan. PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2022,54(3):2876-2905.
APA	Yuan, Qian,&Yuan, Yuan.(2022).PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,54(3),2876-2905.
MLA	Yuan, Qian,et al."PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 54.3(2022):2876-2905.