TWO-PHASE INCOMPRESSIBLE FLOWS WITH VARIABLE DENSITY: AN ENERGETIC VARIATIONAL APPROACH

doi:10.3934/dcds.2017138

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 数学物理与应用研究部

	TWO-PHASE INCOMPRESSIBLE FLOWS WITH VARIABLE DENSITY: AN ENERGETIC VARIATIONAL APPROACH
	Jiang, Jie 1; Li, Yinghua 3; Liu, Chun 2
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
	2017-06-01
卷号	37 期号:6 页码:3243-3284
关键词	Two-phase Flow Incompressible Navier-stokes Variable Density Global Existence Longtime Behavior
DOI	10.3934/dcds.2017138
文献子类	Article
英文摘要	In this paper, we study a diffuse-interface model for two-phase incompressible flows with different densities. First, we present a derivation of the model using an energetic variational approach. Our model allows large density ratio between the two phases and moreover, it is thermodynamically consistent and admits a dissipative energy law. Under suitable assumptions on the average density function, we establish the global existence of a weak solution in the 3D case as well as the global well-posedness of strong solutions in the 2D case to an initial-boundary problem for the resulting Allen-Cahn-Navier-Stokes system. Furthermore, we investigate the longtime behavior of the 2D strong solutions. In particular, we obtain existence of a maximal compact attractor and prove that the solution will converge to an equilibrium as time goes to infinity.
WOS关键词	PHASE-FIELD MODEL ; DIFFUSE-INTERFACE MODEL ; CAHN-HILLIARD FLUIDS ; IRREVERSIBLE-PROCESSES ; RECIPROCAL RELATIONS ; ORDER-PARAMETER ; WEAK SOLUTIONS ; APPROXIMATION ; EXISTENCE ; EQUATIONS
WOS研究方向	Mathematics
语种	英语
WOS记录号	WOS:000395905000014
资助机构	NNSFC(11201468 ; NNSFC(11201468 ; SRF-DP(20134407120001 ; SRF-DP(20134407120001 ; Guangdong Natural Science Foundation(S2012010010408) ; Guangdong Natural Science Foundation(S2012010010408) ; Chinese Scholarship Council(201304910085 ; Chinese Scholarship Council(201304910085 ; NSF(DMS-1412005 ; NSF(DMS-1412005 ; 11371098 ; 11371098 ; 20114407110008) ; 20114407110008) ; 201406755006) ; 201406755006) ; DMS-1216938 ; DMS-1216938 ; 11301192 ; 11301192 ; DMS-1159937) ; DMS-1159937) ; 11471127) ; 11471127) ; NNSFC(11201468 ; NNSFC(11201468 ; SRF-DP(20134407120001 ; SRF-DP(20134407120001 ; Guangdong Natural Science Foundation(S2012010010408) ; Guangdong Natural Science Foundation(S2012010010408) ; Chinese Scholarship Council(201304910085 ; Chinese Scholarship Council(201304910085 ; NSF(DMS-1412005 ; NSF(DMS-1412005 ; 11371098 ; 11371098 ; 20114407110008) ; 20114407110008) ; 201406755006) ; 201406755006) ; DMS-1216938 ; DMS-1216938 ; 11301192 ; 11301192 ; DMS-1159937) ; DMS-1159937) ; 11471127) ; 11471127)
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/10860]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei Province, Peoples R China 2.Penn State Univ, Dept Math, University Pk, PA 16802 USA 3.South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Jie,Li, Yinghua,Liu, Chun. TWO-PHASE INCOMPRESSIBLE FLOWS WITH VARIABLE DENSITY: AN ENERGETIC VARIATIONAL APPROACH[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2017,37(6):3243-3284.
APA	Jiang, Jie,Li, Yinghua,&Liu, Chun.(2017).TWO-PHASE INCOMPRESSIBLE FLOWS WITH VARIABLE DENSITY: AN ENERGETIC VARIATIONAL APPROACH.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,37(6),3243-3284.
MLA	Jiang, Jie,et al."TWO-PHASE INCOMPRESSIBLE FLOWS WITH VARIABLE DENSITY: AN ENERGETIC VARIATIONAL APPROACH".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 37.6(2017):3243-3284.