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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

文献类型：期刊论文

作者Wang, Yong1; Xin, Zhouping2; Yong, Yan3
刊名SIAM JOURNAL ON MATHEMATICAL ANALYSIS
出版日期2015
卷号47期号:6页码:4123-4191
关键词compressible Navier-Stokes Euler equations vanishing viscosity limit convergence rate
ISSN号0036-1410
DOI10.1137/151003520
英文摘要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.
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
语种英语
WOS记录号WOS:000367020000002
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21585]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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