Global stability of rarefaction wave to the 1-D piston problem for the Compressible Full Euler Equations
文献类型：期刊论文
| 作者 | Ding, Min1; Kuang, Jie2,3; Zhang, Yongqian3 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2017-04-15 |
| 卷号 | 448期号:2页码:1228-1264 |
| 关键词 | Piston problem Compressible Euler equations Rarefaction wave Wave front tracking method Interaction of waves Asymptotic behavior |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2016.11.059 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000403630400024 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25634]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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