TWO-DIMENSIONAL STEADY SUPERSONIC EXOTHERMICALLY REACTING EULER FLOW PAST LIPSCHITZ BENDING WALLS

doi:10.1137/16M1075089

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	TWO-DIMENSIONAL STEADY SUPERSONIC EXOTHERMICALLY REACTING EULER FLOW PAST LIPSCHITZ BENDING WALLS
	Chen, Gui-Qiang G.1; Kuang, Jie 2,3; Zhang, Yongqian 2
	2017
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	49 期号:2 页码:818-873
摘要	We are concerned with the two-dimensional steady supersonic reacting Euler flow past Lipschitz bending walls that are small perturbations of a convex one, and establish the existence of global entropy solutions when the total variation of both the initial data and the slope of the boundary is sufficiently small. The flow is governed by an ideal polytropic gas and undergoes a one-step exothermic chemical reaction under the reaction rate function that is Lipschtiz and has a positive lower bound. The heat released by the reaction may cause the total variation of the solution to increase along the flow direction. We employ the modified wavefront tracking scheme to construct approximate solutions and develop a Glimm-type functional by incorporating the approximate strong rarefaction waves and Lipschitz bending walls to obtain the uniform bound on the total variation of the approximate solutions. Then we employ this bound to prove the convergence of the approximate solutions to a global entropy solution that contains a strong rarefaction wave generated by the Lipschitz bending wall. In addition, the asymptotic behavior of the entropy solution in the flow direction is also analyzed.
关键词	steady supersonic reacting Euler flow rarefaction wave wavefront tracking scheme Lispchitz bending wall entropy solutions asymptotic behavior stability
DOI	10.1137/16M1075089
语种	英语
资助项目	UK EPSRC Award[EP/L015811/1] ; Royal Society-Wolfson Research Merit Award (UK). ; NSFC[11421061] ; NSFC[11031001] ; NSFC[11121101] ; Natural Science Foundation of Shanghai[15ZR1403900] ; 111 Project (China)[B08018]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000400748500005
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26050
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Gui-Qiang G.
作者单位	1.Univ Oxford, Math Inst, Oxford OX2 6GG, England 2.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Gui-Qiang G.,Kuang, Jie,Zhang, Yongqian. TWO-DIMENSIONAL STEADY SUPERSONIC EXOTHERMICALLY REACTING EULER FLOW PAST LIPSCHITZ BENDING WALLS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2017,49(2):818-873.
APA	Chen, Gui-Qiang G.,Kuang, Jie,&Zhang, Yongqian.(2017).TWO-DIMENSIONAL STEADY SUPERSONIC EXOTHERMICALLY REACTING EULER FLOW PAST LIPSCHITZ BENDING WALLS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,49(2),818-873.
MLA	Chen, Gui-Qiang G.,et al."TWO-DIMENSIONAL STEADY SUPERSONIC EXOTHERMICALLY REACTING EULER FLOW PAST LIPSCHITZ BENDING WALLS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 49.2(2017):818-873.