Global Solutions of Shock Reflection by Wedges for the Nonlinear Wave Equation

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 equati...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2011-09, Vol.32 (5), p.643-668
Main Authors: Deng, Xuemei, Xiang, Wei
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
反射
可压缩流动
大角度
移动
稳定性
自相似
衍射过程
非线性波动方程
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Summary: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.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-011-0673-0