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

doi:10.3934/dcds.2019146

CSpace > 应用数学研究所

	NONLINEAR STABILITY AND EXISTENCE OF VORTEX SHEETS FOR INVISCID LIQUID-GAS TWO-PHASE FLOW
	Huang, Feimin1 ; Wang, Dehua 2; Yuan, Difan 3,4
	2019-06-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	39 期号:6 页码:3535-3575
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.
关键词	Inviscid liquid-gas two-phase flow vortex sheets Nash-Moser scheme loss of derivatives nonlinear stability
DOI	10.3934/dcds.2019146
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000459954800023
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	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.Acad Sinica, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, 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.