Uniform Regularity and Vanishing Dissipation Limit for the Full Compressible Navier-Stokes System in Three Dimensional Bounded Domain

doi:10.1007/s00205-016-0989-8

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	Uniform Regularity and Vanishing Dissipation Limit for the Full Compressible Navier-Stokes System in Three Dimensional Bounded Domain
	Wang, Yong
	2016-09-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	221 期号:3 页码:1345-1415
摘要	In the present paper, we study the uniform regularity and vanishing dissipation limit for the full compressible Navier-Stokes system whose viscosity and heat conductivity are allowed to vanish at different orders. The problem is studied in a three dimensional bounded domain with Navier-slip type boundary conditions. It is shown that there exists a unique strong solution to the full compressible Navier-Stokes system with the boundary conditions in a finite time interval which is independent of the viscosity and heat conductivity. The solution is uniformly bounded in and is a conormal Sobolev space. Based on such uniform estimates, we prove the convergence of the solutions of the full compressible Navier-Stokes to the corresponding solutions of the full compressible Euler system in , and with a rate of convergence.
DOI	10.1007/s00205-016-0989-8
语种	英语
资助项目	National Natural Sciences Foundation of China[11401565]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000377720200008
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22917
专题	应用数学研究所
通讯作者	Wang, Yong
作者单位	Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yong. Uniform Regularity and Vanishing Dissipation Limit for the Full Compressible Navier-Stokes System in Three Dimensional Bounded Domain[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2016,221(3):1345-1415.
APA	Wang, Yong.(2016).Uniform Regularity and Vanishing Dissipation Limit for the Full Compressible Navier-Stokes System in Three Dimensional Bounded Domain.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,221(3),1345-1415.
MLA	Wang, Yong."Uniform Regularity and Vanishing Dissipation Limit for the Full Compressible Navier-Stokes System in Three Dimensional Bounded Domain".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 221.3(2016):1345-1415.