Global stability of rarefaction wave to the 1-D piston problem for the Compressible Full Euler Equations

doi:10.1016/j.jmaa.2016.11.059

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	Global stability of rarefaction wave to the 1-D piston problem for the Compressible Full Euler Equations
	Ding, Min 1; Kuang, Jie 2,3; Zhang, Yongqian 3
	2017-04-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	448 期号:2 页码:1228-1264
摘要	In this paper, we study the 1-D piston problem for compressible full Euler equations under the assumptions that the total variation of the initial data and the perturbation of the piston velocity are sufficiently small. By a modified wave front tracking method, we establish the global existence of entropy solutions including a strong rarefaction wave without restriction on the strength. Moreover, we establish the asymptotic behavior of the solutions as t -> infinity. (C) 2016 Elsevier Inc. All rights reserved.
关键词	Piston problem Compressible Euler equations Rarefaction wave Wave front tracking method Interaction of waves Asymptotic behavior
DOI	10.1016/j.jmaa.2016.11.059
语种	英语
资助项目	Natural Science Foundation of China[11421061] ; Natural Science Foundation of China[11031001] ; Natural Science Foundation of China[11121101] ; 111 Project (China)[B08018] ; Shanghai Natural Science Foundation[15ZR1403900]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000403630400024
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25635
专题	中国科学院数学与系统科学研究院
通讯作者	Kuang, Jie
作者单位	1.Wuhan Univ Technol, Sch Sci, Dept Math, Wuhan 430070, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Ding, Min,Kuang, Jie,Zhang, Yongqian. Global stability of rarefaction wave to the 1-D piston problem for the Compressible Full Euler Equations[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2017,448(2):1228-1264.
APA	Ding, Min,Kuang, Jie,&Zhang, Yongqian.(2017).Global stability of rarefaction wave to the 1-D piston problem for the Compressible Full Euler Equations.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,448(2),1228-1264.
MLA	Ding, Min,et al."Global stability of rarefaction wave to the 1-D piston problem for the Compressible Full Euler Equations".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 448.2(2017):1228-1264.