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

doi:10.1137/21M1421489

	PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS
	Yuan, Qian 1; Yuan, Yuan 2
刊名	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
	2022
卷号	54 期号:3 页码:2876-2905
关键词	compressible Navier--Stokes equations viscous shock waves composite waves periodic perturbations
ISSN号	0036-1410
DOI	10.1137/21M1421489
英文摘要	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.
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
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000803887700007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61427]
专题	中国科学院数学与系统科学研究院
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.