UNIFORM REGULARITY AND VANISHING VISCOSITY LIMIT FOR THE COMPRESSIBLE NAVIER-STOKES WITH GENERAL NAVIER-SLIP BOUNDARY CONDITIONS IN THREE-DIMENSIONAL DOMAINS

doi:10.1137/151003520

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	UNIFORM REGULARITY AND VANISHING VISCOSITY LIMIT FOR THE COMPRESSIBLE NAVIER-STOKES WITH GENERAL NAVIER-SLIP BOUNDARY CONDITIONS IN THREE-DIMENSIONAL DOMAINS
	Wang, Yong1 ; Xin, Zhouping 2; Yong, Yan 3
	2015
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	47 期号:6 页码:4123-4191
摘要	In this paper, we investigate the uniform regularity for the isentropic compressible Navier-Stokes system with general Navier-slip boundary conditions (1.6) and the inviscid limit to the compressible Euler system. It is shown that there exists a unique strong solution of the compressible Navier-Stokes equations with general Navier-slip boundary conditions in an interval of time which is uniform in the vanishing viscosity limit. The solution is uniformly bounded in a conormal Sobolev space and is uniformly bounded in W-1,W-infinity. It is also shown that the boundary layer for the density is weaker than the one for the velocity field. In particular, it is proved that the velocity will be uniformly bounded in L-infinity(0, T; H-2) when the boundary is flat and the Navier-Stokes system is supplemented with the vorticity free boundary condition (1.25). Based on such uniform estimates, we prove the convergence of the viscous solutions to the inviscid ones in L-infinity(0, T; L-2), L-infinity(0, T; H-1) and L-infinity([0, T] x Omega) with a rate of convergence.
关键词	compressible Navier-Stokes Euler equations vanishing viscosity limit convergence rate
DOI	10.1137/151003520
语种	英语
资助项目	Zheng Ge Ru Foundation ; Hong Kong RGC Earmarked Research grant[CUHK4041/11P] ; Hong Kong RGC Earmarked Research grant[CUHK4048/13P] ; NSFC/RGC Joint Research Scheme grant[N-CUHK443/14] ; Croucher Foundation ; Focus Area grant at The Chinese University of Hong Kong ; National Natural Sciences Foundation of China[11371064] ; National Natural Sciences Foundation of China[11401565] ; National Natural Sciences Foundation of China[11201301] ; Hujiang Foundation of China[B14005]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000367020000002
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21586
专题	应用数学研究所
通讯作者	Yong, Yan
作者单位	1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 3.Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yong,Xin, Zhouping,Yong, Yan. UNIFORM REGULARITY AND VANISHING VISCOSITY LIMIT FOR THE COMPRESSIBLE NAVIER-STOKES WITH GENERAL NAVIER-SLIP BOUNDARY CONDITIONS IN THREE-DIMENSIONAL DOMAINS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2015,47(6):4123-4191.
APA	Wang, Yong,Xin, Zhouping,&Yong, Yan.(2015).UNIFORM REGULARITY AND VANISHING VISCOSITY LIMIT FOR THE COMPRESSIBLE NAVIER-STOKES WITH GENERAL NAVIER-SLIP BOUNDARY CONDITIONS IN THREE-DIMENSIONAL DOMAINS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,47(6),4123-4191.
MLA	Wang, Yong,et al."UNIFORM REGULARITY AND VANISHING VISCOSITY LIMIT FOR THE COMPRESSIBLE NAVIER-STOKES WITH GENERAL NAVIER-SLIP BOUNDARY CONDITIONS IN THREE-DIMENSIONAL DOMAINS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 47.6(2015):4123-4191.