GLOBAL ENTROPY SOLUTIONS TO THE GAS FLOW IN GENERAL NOZZLE
文献类型：期刊论文
| 作者 | Cao, Wentao3; Huang, Feimin1,4 ; Yuan, Difan2
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2019 |
| 卷号 | 51期号:4页码:3276-3297 |
| ISSN号 | 0036-1410 |
| 关键词 | isentropic gas flow isothermal gas flow compensated compactness uniform estimate independent of time |
| DOI | 10.1137/19M1249436 |
| 英文摘要 | We are concerned with the global existence of entropy solutions for the compressible Euler equations describing the gas flow in a nozzle with general cross-sectional area, for both isentropic and isothermal fluids. New viscosities are delicately designed to obtain the uniform bound of approximate solutions. The vanishing viscosity method and compensated compactness framework are used to prove the convergence of approximate solutions. Moreover, the entropy solutions for both cases are uniformly bounded independent of time. No smallness condition is assumed on initial data. The techniques developed here can be applied to compressible Euler equations with general source terms. |
| 资助项目 | ERC grant[724298] ; national Center for Mathematics and Inter-disciplinary Sciences, AMSS, CAS ; National Natural Science Foundation of China[11371349] ; National Natural Science Foundation of China[11688101] ; China Scholarship Council[201704910503] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SIAM PUBLICATIONS |
| WOS记录号 | WOS:000483950800015 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35622]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Yuan, Difan |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Univ Leipzig, Inst Math, D-04109 Leipzig, Germany 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Wentao,Huang, Feimin,Yuan, Difan. GLOBAL ENTROPY SOLUTIONS TO THE GAS FLOW IN GENERAL NOZZLE[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2019,51(4):3276-3297. |
| APA | Cao, Wentao,Huang, Feimin,&Yuan, Difan.(2019).GLOBAL ENTROPY SOLUTIONS TO THE GAS FLOW IN GENERAL NOZZLE.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,51(4),3276-3297. |
| MLA | Cao, Wentao,et al."GLOBAL ENTROPY SOLUTIONS TO THE GAS FLOW IN GENERAL NOZZLE".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 51.4(2019):3276-3297. |
入库方式： OAI收割
来源：数学与系统科学研究院
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