LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS

doi:10.3934/cpaa.2021080

CSpace

	LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS
	Wang, T. E. N. G.1; Wang, Y., I 2,3
	2021-07-01
发表期刊	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
ISSN	1534-0392
卷号	20 期号:7-8 页码:2811-2838
摘要	We are concerned with the large-time asymptotic behaviors towards the planar rarefaction wave to the three-dimensional (3D) compressible and isentropic Navier-Stokes equations in half space with Navier boundary conditions. It is proved that the planar rarefaction wave is time-asymptotically stable for the 3D initial-boundary value problem of the compressible Navier-Stokes equations in R+ x T-2 with arbitrarily large wave strength. Compared with the previous work [17, 16] for the whole space problem, Navier boundary conditions, which state that the impermeable wall condition holds for the normal velocity and the fluid tangential velocity is proportional to the tangential component of the viscous stress tensor on the boundary, are crucially used for the stability analysis of the 3D initial-boundary value problem.
关键词	Compressible Navier-Stokes equations planar rarefaction wave sta- bility Navier boundary conditions
DOI	10.3934/cpaa.2021080
收录类别	SCI
语种	英语
资助项目	NSFC[12090014] ; NSFC[11688101] ; BJNSF[1202002]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000684207400019
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/59066
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Y., I
作者单位	1.Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China 2.Chinese Acad Sci, CEMS, HCMS, NCMIS,Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wang, T. E. N. G.,Wang, Y., I. LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2021,20(7-8):2811-2838.
APA	Wang, T. E. N. G.,&Wang, Y., I.(2021).LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,20(7-8),2811-2838.
MLA	Wang, T. E. N. G.,et al."LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 20.7-8(2021):2811-2838.