Global solutions of shock reflection by wedges for the nonlinear wave equation

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	Global solutions of shock reflection by wedges for the nonlinear wave equation
	Deng, Xuemei ; Xiang, Wei ; Deng XM(邓雪梅)
刊名	http://dx.doi.org/10.1007/s11401-011-0673-0
	2011-09
关键词	BOUNDARY-VALUE-PROBLEMS POTENTIAL FLOW REGULARITY
英文摘要	China Scholarship Council [2008631071, 2009610055]; EPSRC [EP/E035027/1]; When a plane shock hits a wedge head on, it experiences a reflection-diffraction process and then a self-similar reflected shock moves outward as the original shock moves forward in time. In this paper, shock reflection by large-angle wedges for compressible flow modeled by the nonlinear wave equation is studied and a global theory of existence, stability and regularity is established. Moreover, C (0,1) is the optimal regularity for the solutions across the degenerate sonic boundary.
语种	英语
出版者	CHINESE ANN MATH B
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91054]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Deng, Xuemei,Xiang, Wei,Deng XM. Global solutions of shock reflection by wedges for the nonlinear wave equation[J]. http://dx.doi.org/10.1007/s11401-011-0673-0,2011.
APA	Deng, Xuemei,Xiang, Wei,&邓雪梅.(2011).Global solutions of shock reflection by wedges for the nonlinear wave equation.http://dx.doi.org/10.1007/s11401-011-0673-0.
MLA	Deng, Xuemei,et al."Global solutions of shock reflection by wedges for the nonlinear wave equation".http://dx.doi.org/10.1007/s11401-011-0673-0 (2011).