A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids

doi:10.1016/j.jmaa.2019.123676

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	A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids
	Kim, Tujin 3; Cao, Daomin 1,2
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2020-04-01
卷号	484 期号:1 页码:42
关键词	Heat-conducting fluids Dissipative heating Mixed boundary conditions Tresca slip Leak boundary conditions Pressure boundary condition
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2019.123676
英文摘要	In this paper we are concerned with a non-steady system for motion of incompressible viscous Newtonian heat-conducting fluids under mixed boundary conditions. The boundary conditions for fluid may include Tresca slip, leak and one-sided leak conditions based on total stress, velocity, total pressure, rotation, total stress together and the conditions for temperature may include Dirichlet, Neumann and Robin conditions together. Relying on the relations among strain, rotation, normal derivative of velocity and shape of boundary surface, we get variational formulation. The formulation consists of a variational inequality for velocity due to the boundary conditions of friction type and a variational equation for temperature. We first study existence, estimation and relative compactness of solutions to an approximate equation. By passing to limits as the parameter for approximation goes to zero, we get existence of a solution with "defect measure" for temperature. C) 2019 Published by Elsevier Inc.
资助项目	Guangzhou University, P. R. China ; NSFC[11771469] ; NSFC[11688101] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000508488800033
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50567]
专题	应用数学研究所
通讯作者	Kim, Tujin
作者单位	1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Guangdong, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 3.Acad Sci, Inst Math, Pyongyang, North Korea
推荐引用方式 GB/T 7714	Kim, Tujin,Cao, Daomin. A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020,484(1):42.
APA	Kim, Tujin,&Cao, Daomin.(2020).A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,484(1),42.
MLA	Kim, Tujin,et al."A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 484.1(2020):42.