On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws
文献类型：期刊论文
| 作者 | Yuan, Qian3 ; Yuan, Yuan1,2
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2020-04-15 |
| 卷号 | 268期号:9页码:5140-5155 |
| 关键词 | Conservation laws Shock waves Rarefaction waves Periodic perturbations |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2019.11.008 |
| 英文摘要 | This paper is concerned with the large time behaviors of the entropy solutions to one-dimensional scalar convex conservation laws, of which the initial data are assumed to approach two arbitrary L-infinity periodic functions as x -> -infinity and x ->+infinity, respectively. We show that the solutions approach the Riemann solutions at algebraic rates as time increases. Moreover, a new discovery in this paper is that the difference between the two periodic perturbations at two infinities may generate a constant shift on the background shock wave, which is different from the result in [11], where the two periodic perturbations are the same. (C) 2019 Elsevier Inc. All rights reserved. |
| 资助项目 | Start-up Research Grant of South China Normal University[8S0328] ; Italy MIUR[PRIN 2015YCJY3A-004] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000514573100008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50937]  |
| 专题 | 博士后 |
| 通讯作者 | Yuan, Yuan |
| 作者单位 | 1.Univ Brescia, Sez Matemat, DICATAM, Via Valotti 9, I-25133 Brescia, Italy 2.South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Guangzhou, Guangdong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yuan, Qian,Yuan, Yuan. On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,268(9):5140-5155. |
| APA | Yuan, Qian,&Yuan, Yuan.(2020).On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws.JOURNAL OF DIFFERENTIAL EQUATIONS,268(9),5140-5155. |
| MLA | Yuan, Qian,et al."On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws".JOURNAL OF DIFFERENTIAL EQUATIONS 268.9(2020):5140-5155. |
入库方式： OAI收割
来源：数学与系统科学研究院
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