TWO-DIMENSIONAL STEADY SUPERSONIC EXOTHERMICALLY REACTING EULER FLOW PAST LIPSCHITZ BENDING WALLS
文献类型：期刊论文
| 作者 | Chen, Gui-Qiang G.1; Kuang, Jie2,3; Zhang, Yongqian2 |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2017 |
| 卷号 | 49期号:2页码:818-873 |
| ISSN号 | 0036-1410 |
| 关键词 | steady supersonic reacting Euler flow rarefaction wave wavefront tracking scheme Lispchitz bending wall entropy solutions asymptotic behavior stability |
| DOI | 10.1137/16M1075089 |
| 英文摘要 | We are concerned with the two-dimensional steady supersonic reacting Euler flow past Lipschitz bending walls that are small perturbations of a convex one, and establish the existence of global entropy solutions when the total variation of both the initial data and the slope of the boundary is sufficiently small. The flow is governed by an ideal polytropic gas and undergoes a one-step exothermic chemical reaction under the reaction rate function that is Lipschtiz and has a positive lower bound. The heat released by the reaction may cause the total variation of the solution to increase along the flow direction. We employ the modified wavefront tracking scheme to construct approximate solutions and develop a Glimm-type functional by incorporating the approximate strong rarefaction waves and Lipschitz bending walls to obtain the uniform bound on the total variation of the approximate solutions. Then we employ this bound to prove the convergence of the approximate solutions to a global entropy solution that contains a strong rarefaction wave generated by the Lipschitz bending wall. In addition, the asymptotic behavior of the entropy solution in the flow direction is also analyzed. |
| 资助项目 | UK EPSRC Award[EP/L015811/1] ; Royal Society-Wolfson Research Merit Award (UK). ; NSFC[11421061] ; NSFC[11031001] ; NSFC[11121101] ; Natural Science Foundation of Shanghai[15ZR1403900] ; 111 Project (China)[B08018] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SIAM PUBLICATIONS |
| WOS记录号 | WOS:000400748500005 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26049]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, Gui-Qiang G. |
| 作者单位 | 1.Univ Oxford, Math Inst, Oxford OX2 6GG, England 2.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Gui-Qiang G.,Kuang, Jie,Zhang, Yongqian. TWO-DIMENSIONAL STEADY SUPERSONIC EXOTHERMICALLY REACTING EULER FLOW PAST LIPSCHITZ BENDING WALLS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2017,49(2):818-873. |
| APA | Chen, Gui-Qiang G.,Kuang, Jie,&Zhang, Yongqian.(2017).TWO-DIMENSIONAL STEADY SUPERSONIC EXOTHERMICALLY REACTING EULER FLOW PAST LIPSCHITZ BENDING WALLS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,49(2),818-873. |
| MLA | Chen, Gui-Qiang G.,et al."TWO-DIMENSIONAL STEADY SUPERSONIC EXOTHERMICALLY REACTING EULER FLOW PAST LIPSCHITZ BENDING WALLS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 49.2(2017):818-873. |
入库方式： OAI收割
来源：数学与系统科学研究院
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