NONLINEAR STABILITY AND EXISTENCE OF VORTEX SHEETS FOR INVISCID LIQUID-GAS TWO-PHASE FLOW
文献类型：期刊论文
| 作者 | Huang, Feimin4 ; Wang, Dehua1; Yuan, Difan2,3
|
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2019-06-01 |
| 卷号 | 39期号:6页码:3535-3575 |
| 关键词 | Inviscid liquid-gas two-phase flow vortex sheets Nash-Moser scheme loss of derivatives nonlinear stability |
| ISSN号 | 1078-0947 |
| DOI | 10.3934/dcds.2019146 |
| 英文摘要 | We are concerned with the vortex sheet solutions for the inviscid two-phase flow in two dimensions. In particular, the nonlinear stability and existence of compressible vortex sheet solutions under small perturbations are established by using a modification of the Nash-Moser iteration technique, where a priori estimates for the linearized equations have a loss of derivatives. Due to the jump of the normal derivatives of densities of liquid and gas, we obtain the normal estimates in the anisotropic Sobolev space, instead of the usual Sobolev space. New ideas and techniques are developed to close the energy estimates and derive the tame estimates for the two-phase flows. |
| 资助项目 | National Center for Mathematics and Interdisciplinary Sciences, AMSS, CAS ; NSFC[11371349] ; NSFC[11688101] ; NSF[DMS-1312800] ; NSF[DMS-1613213] ; China Scholarship Council[201704910503] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000459954800023 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/33457]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Yuan, Difan |
| 作者单位 | 1.Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Acad Sinica, AMSS, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Feimin,Wang, Dehua,Yuan, Difan. NONLINEAR STABILITY AND EXISTENCE OF VORTEX SHEETS FOR INVISCID LIQUID-GAS TWO-PHASE FLOW[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2019,39(6):3535-3575. |
| APA | Huang, Feimin,Wang, Dehua,&Yuan, Difan.(2019).NONLINEAR STABILITY AND EXISTENCE OF VORTEX SHEETS FOR INVISCID LIQUID-GAS TWO-PHASE FLOW.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,39(6),3535-3575. |
| MLA | Huang, Feimin,et al."NONLINEAR STABILITY AND EXISTENCE OF VORTEX SHEETS FOR INVISCID LIQUID-GAS TWO-PHASE FLOW".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 39.6(2019):3535-3575. |
入库方式： OAI收割
来源：数学与系统科学研究院
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