Diffusive wave in the low Mach limit for compressible Navier Stokes equations

doi:10.1016/j.aim.2017.08.004

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	Diffusive wave in the low Mach limit for compressible Navier Stokes equations
	Huang, Feimin1 ; Wang, Tian-Yi 2,3; Wang, Yong1
刊名	ADVANCES IN MATHEMATICS
	2017-10-15
卷号	319 页码:348-395
关键词	Compressible Navier-Stokes equations Low Mach limit Nonlinear diffusion wave Well-prepared data Ill-prepared data
ISSN号	0001-8708
DOI	10.1016/j.aim.2017.08.004
英文摘要	The low Mach limit for 1D non-isentropic compressible Navier Stokes flow, whose density and temperature have different asymptotic states at infinity, is rigorously justified. The problems are considered on both well-prepared and ill prepared data. For the well-prepared data, the solutions of compressible Navier Stokes equations are shown to converge to a nonlinear diffusion wave solution globally in time as Mach number goes to zero when the difference between the states at +/-infinity is suitably small. In particular, the velocity of diffusion wave is only driven by the variation of temperature. It is further shown that the solution of compressible Navier Stokes system also has the same property when Mach number is small, which has never been observed before. The convergence rates on both Mach number and time are also obtained for the well-prepared data. For the well-prepared data, the limit relies on the uniform estimates including weighted time derivatives and an extended convergence lemma. And the difference between the states at +/-infinity can be arbitrary large in this case. (C) 2017 Elsevier Inc. All rights reserved.
资助项目	National Center for Mathematics and Interdisciplinary Sciences ; AMSS ; CAS ; National Natural Science Foundation of China[11601401] ; National Natural Science Foundation of China[11401565] ; National Natural Science Foundation of China[11688101] ; Fundamental Research Funds for Central Universities[WUT: 2017 IVA 072] ; Fundamental Research Funds for Central Universities[2017 IVB 066] ; NSFC[11688101] ; NSFC[11371349]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000412150400013
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26686]
专题	应用数学研究所
通讯作者	Wang, Tian-Yi
作者单位	1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Wuhan Univ Technol, Sch Sci, Dept Math, Wuhan, Hubei, Peoples R China 3.Gran Sasso Sci Inst, Viale Francesco Crispi 7, I-67100 Laquila, Italy
推荐引用方式 GB/T 7714	Huang, Feimin,Wang, Tian-Yi,Wang, Yong. Diffusive wave in the low Mach limit for compressible Navier Stokes equations[J]. ADVANCES IN MATHEMATICS,2017,319:348-395.
APA	Huang, Feimin,Wang, Tian-Yi,&Wang, Yong.(2017).Diffusive wave in the low Mach limit for compressible Navier Stokes equations.ADVANCES IN MATHEMATICS,319,348-395.
MLA	Huang, Feimin,et al."Diffusive wave in the low Mach limit for compressible Navier Stokes equations".ADVANCES IN MATHEMATICS 319(2017):348-395.