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Configurations of Shock Regular Reflection by Straight Wedges

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Abstract

We are concerned with the shock regular reflection configurations of unsteady global solutions for a plane shock hitting a symmetric straight wedge. It has been known that patterns of the shock reflection are various and complicated, including the regular and the Mach reflection. Most of the fundamental issues for the shock reflection have not been understood. Recently, there are great progress on the mathematical theory of the shock regular reflection problem, especially for the global existence, uniqueness, and structural stability of solutions. In this paper, we show that there are two more possible configurations of the shock regular reflection besides known four configurations. We also give a brief proof of the global existence of solutions.

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Acknowledgements

The research of this paper was supported by the National Natural Science Foundation of China (Grant no. 11761077), the NSF of Yunnan province of China (2019FY003007), and the Program for Innovative Research Team in Universities of Yunnan Province of China. The authors would like to thank the anonymous referees very much for their helpful suggestions to improve the presentation of this paper.

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  1. Department of Mathematics and Statistics, Yunnan University, Kunming, 650091, Yunnan, China

    Qin Wang & Junhe Zhou

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  1. Qin Wang
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Correspondence to Qin Wang.

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Wang, Q., Zhou, J. Configurations of Shock Regular Reflection by Straight Wedges. Commun. Appl. Math. Comput. 5, 1256–1273 (2023). https://doi.org/10.1007/s42967-022-00207-z

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