Concentration of mass in the pressureless limit of Euler equations for power law
文献类型：期刊论文
| 作者 | Ibrahim, Muhammad1,2; Liu, Fujun3; Liu, Song1 |
| 刊名 | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
 |
| 出版日期 | 2019-06-01 |
| 卷号 | 47页码:224-235 |
| 关键词 | Riemann solutions Delta wave Power law Zero pressure gas dynamics Weighted Dirac-measure Numerical simulations |
| ISSN号 | 1468-1218 |
| DOI | 10.1016/j.nonrwa.2018.10.015 |
| 英文摘要 | In this paper, the limiting behavior of Riemann solutions to the Euler equations for compressible fluids in power law is studied as the adiabatic exponent goes to zero. We show that the limit solution forms the delta wave of the zero pressure gas dynamics in the distribution sense. At the end of the paper, we also give some numerical results to present the phenomena of concentration. (C) 2018 Elsevier Ltd. All rights reserved. |
| 资助项目 | CAS-TWAS President's Fellowship Program |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000458714100013 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32687]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, Song |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100190, Peoples R China 3.Beihang Univ, Sch Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ibrahim, Muhammad,Liu, Fujun,Liu, Song. Concentration of mass in the pressureless limit of Euler equations for power law[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2019,47:224-235. |
| APA | Ibrahim, Muhammad,Liu, Fujun,&Liu, Song.(2019).Concentration of mass in the pressureless limit of Euler equations for power law.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,47,224-235. |
| MLA | Ibrahim, Muhammad,et al."Concentration of mass in the pressureless limit of Euler equations for power law".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 47(2019):224-235. |
入库方式： OAI收割
来源：数学与系统科学研究院
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