Nonlinear stability of large amplitude viscous shock wave for general viscous gas

doi:10.1016/j.jde.2020.01.004

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	Nonlinear stability of large amplitude viscous shock wave for general viscous gas
	He, Lin 1; Huang, Feimin2,3
	2020-07-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	269 期号:2 页码:1226-1242
摘要	In the present paper, it is shown that the large amplitude viscous shock wave is nonlinearly stable for isentropic Navier-Stokes equations, in which the pressure could be general and includes gamma-law, and the viscosity coefficient is a smooth function of density. The strength of shock wave could be arbitrarily large. The proof is given by introducing a new variable, which can formulate the original system into a new one, and the elementary energy method introduced in [21]. (C) 2020 Published by Elsevier Inc.
DOI	10.1016/j.jde.2020.01.004
收录类别	SCI
语种	英语
资助项目	Fundamental Research Funds for the Central Universities[YJ201962] ; NSFC[11371349] ; NSFC[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000530702100005
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51434
专题	应用数学研究所
通讯作者	Huang, Feimin
作者单位	1.Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	He, Lin,Huang, Feimin. Nonlinear stability of large amplitude viscous shock wave for general viscous gas[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,269(2):1226-1242.
APA	He, Lin,&Huang, Feimin.(2020).Nonlinear stability of large amplitude viscous shock wave for general viscous gas.JOURNAL OF DIFFERENTIAL EQUATIONS,269(2),1226-1242.
MLA	He, Lin,et al."Nonlinear stability of large amplitude viscous shock wave for general viscous gas".JOURNAL OF DIFFERENTIAL EQUATIONS 269.2(2020):1226-1242.