CSpace  > 应用数学研究所
 Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle Huang, Feimin1,2; Kuang, Jie2,3; Wang, Dehua4; Xiang, Wei5 2019-03-15 Source Publication JOURNAL OF DIFFERENTIAL EQUATIONS ISSN 0022-0396 Volume 266Issue:7Pages:4337-4376 Abstract In this paper, we study the stability of supersonic contact discontinuity for the two-dimensional steady compressible Euler flows in a finitely long nozzle of varying cross-sections. We formulate the problem as an initial-boundary value problem with the contact discontinuity as a free boundary. To deal with the free boundary value problem, we employ the Lagrangian transformation to straighten the contact discontinuity and then the free boundary value problem becomes a fixed boundary value problem. We develop an iteration scheme and establish some novel estimates of solutions for the first order of hyperbolic equations on a cornered domain. Finally, by using the inverse Lagrangian transformation and under the assumption that the incoming flows and the nozzle walls are smooth perturbations of the background state, we prove that the original free boundary problem admits a unique weak solution which is a small perturbation of the background state and the solution consists of two smooth supersonic flows separated by a smooth contact discontinuity. (C) 2018 Elsevier Inc. All rights reserved. Keyword Contact discontinuity Supersonic flow Free boundary Compressible Euler equation Finitely long nozzle DOI 10.1016/j.jde.2018.09.036 Language 英语 Funding Project NSFC[11801549] ; NSFC[11371349] ; NSFC[11688101] ; NSF[DMS-1312800] ; NSF[DMS-1613213] ; Research Grants Council of the HKSAR, China[CityU 21305215] ; Research Grants Council of the HKSAR, China[CityU 11332916] ; Research Grants Council of the HKSAR, China[CityU 11304817] ; Research Grants Council of the HKSAR, China[CityU 11303518] WOS Research Area Mathematics WOS Subject Mathematics WOS ID WOS:000456433000018 Publisher ACADEMIC PRESS INC ELSEVIER SCIENCE Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/32288 Collection 应用数学研究所 Corresponding Author Kuang, Jie Affiliation 1.Hunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China4.Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA5.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China Recommended CitationGB/T 7714 Huang, Feimin,Kuang, Jie,Wang, Dehua,et al. Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2019,266(7):4337-4376. APA Huang, Feimin,Kuang, Jie,Wang, Dehua,&Xiang, Wei.(2019).Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle.JOURNAL OF DIFFERENTIAL EQUATIONS,266(7),4337-4376. MLA Huang, Feimin,et al."Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle".JOURNAL OF DIFFERENTIAL EQUATIONS 266.7(2019):4337-4376.
 Files in This Item: There are no files associated with this item.
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [Huang, Feimin]'s Articles [Kuang, Jie]'s Articles [Wang, Dehua]'s Articles Baidu academic Similar articles in Baidu academic [Huang, Feimin]'s Articles [Kuang, Jie]'s Articles [Wang, Dehua]'s Articles Bing Scholar Similar articles in Bing Scholar [Huang, Feimin]'s Articles [Kuang, Jie]'s Articles [Wang, Dehua]'s Articles Terms of Use No data! Social Bookmark/Share