L-1-convergence rates to the Barenblatt solution for the damped compressible Euler equations
文献类型：期刊论文
| 作者 | Geng, Shifeng2; Huang, Feimin1
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2019-06-05 |
| 卷号 | 266期号:12页码:7890-7908 |
| 关键词 | Convergence rates Compressible Euler equations Barenblatt solution Damping mechanism Compensated compacted |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2018.12.016 |
| 英文摘要 | In our previous work [17], it is shown that any L-infinity weak entropy solution of damped compressible Euler equation converges to the Barrenblatt's solution with finite mass in L-1 norm with a convergence rate for 1 < gamma < 3. In this paper, by introducing an elaborate iterative method and using the intensive entropy analysis, we prove the L-1 convergence to the Barrenblatt's solution for any large gamma (gamma >= 3). Furthermore, we get better L-1-convergence rate for 2 <= gamma < 3. (C) 2018 Published by Elsevier Inc. |
| 资助项目 | National Natural Science Foundation of China[11701489] ; National Natural Science Foundation of China[11371349] ; Hunan Provincial Natural Science Foundation of China[2018JJ2373] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000461785900005 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34250]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Geng, Shifeng |
| 作者单位 | 1.Acad Sinica, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China |
| 推荐引用方式 GB/T 7714 | Geng, Shifeng,Huang, Feimin. L-1-convergence rates to the Barenblatt solution for the damped compressible Euler equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2019,266(12):7890-7908. |
| APA | Geng, Shifeng,&Huang, Feimin.(2019).L-1-convergence rates to the Barenblatt solution for the damped compressible Euler equations.JOURNAL OF DIFFERENTIAL EQUATIONS,266(12),7890-7908. |
| MLA | Geng, Shifeng,et al."L-1-convergence rates to the Barenblatt solution for the damped compressible Euler equations".JOURNAL OF DIFFERENTIAL EQUATIONS 266.12(2019):7890-7908. |
入库方式： OAI收割
来源：数学与系统科学研究院
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