NONLINEAR STABILITY AND EXISTENCE OF VORTEX SHEETS FOR INVISCID LIQUID-GAS TWO-PHASE FLOW

doi:10.3934/dcds.2019146

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	NONLINEAR STABILITY AND EXISTENCE OF VORTEX SHEETS FOR INVISCID LIQUID-GAS TWO-PHASE FLOW
	Huang, Feimin4 ; Wang, Dehua 1; Yuan, Difan 2,3
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
	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
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000459954800023
内容类型	期刊论文
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.