Shock Polar Analysis
The simplest case in shock reflection is the reflection of a planar shock by a planar obstacle. In this case both the state ahead of the shock and the state behind the shock are assumed to be constant, so that algebraic computation based on the Rankine-Hu
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Shuxing Chen
Mathematical Analysis of Shock Wave Reflection
Series in Contemporary Mathematics Volume 4
Editor-in-Chief Tatsien Li, School of Mathematical Sciences, Fudan University, Shanghai, Shanghai, China Series Editors Philippe G. Ciarlet, City University of Hong Kong, Hong Kong, China Jean-Michel Coron, Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Paris, France Weinan E, Department of Mathematics, Princeton University, PRINCETON, NJ, USA Jianshu Li, Department of Mathematics, The Hong Kong University of Science and Technology, Hong Kong, China Jun Li, Department of Mathematics, Stanford University, STANFORD, CA, USA Tatsien Li, School of Mathematical Sciences, Fudan University, Shanghai, Shanghai, China Fanghua Lin, Courant Inst. Mathematical Scienc, New York University, NEW YORK, NY, USA Zhi-ming Ma, Academy of Mathematics and Systems Science, Beijing, Beijing, China Andrew J. Majda, Department of Mathematics, New York University, New York, NY, USA Cédric Villani, Institut Henri Poincaré, Paris, Paris, France Ya-xiang Yuan, Institute of Computational Mathematics and Science/Engineering Computing, Academy of Mathematics and Systems Science, Beijing, Beijing, China Weiping Zhang, Chern Institute of Mathematics, Nankai University, Tianjin, Tianjin, China
Series in Contemporary Mathematics (SCM), featuring high-quality mathematical monographs, is to presents original and systematic findings from the fields of pure mathematics, applied mathematics, and math-related interdisciplinary subjects. It has a history of over fifty years since the first title was published by Shanghai Scientific & Technical Publishers in 1963. Professor HUA Luogeng (Lo-Keng Hua) served as Editor-in-Chief of the first editorial board, while Professor SU Buqing acted as Honorary Editor-in-Chief and Professor GU Chaohao as Editor-in-Chief of the second editorial board since 1992. Now the third editorial board is established and Professor LI Tatsien assumes the position of Editor-in-Chief. The series has already published twenty-six monographs in Chinese, and among the authors are many distinguished Chinese mathematicians, including the following members of the Chinese Academy of Sciences: SU Buqing, GU Chaohao, LU Qikeng, ZHANG Gongqing, CHEN Hanfu, CHEN Xiru, YUAN Yaxiang, CHEN Shuxing, etc. The monographs have systematically introduced a number of important research findings which not only play a vital role in China, but also exert huge influence all over the world. Eight of them have been translated into English and published abroad. The new editorial board will inherit and carry forward the former traditions and strengths of the series, and plan to further reform and innovation in terms of internalization so as to improve and ensure the quality of the series, extend its global influence, and strive to forge it into an internationally significant series of mathematical monographs.
More information about this series at http://www.springer.com/series/13634
Shuxing Chen
Mathematical Analysis of Shock Wave Reflection
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