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Stability of Mach Configuration

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Mathematical Analysis of Shock Wave Reflection

Part of the book series: Series in Contemporary Mathematics ((SCMA,volume 4))

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Abstract

When the incident angle constructed by the incident shock and the surface of the wall is greater than a critical value, the regular shock reflection could not occur, and the Mach shock reflection will occur instead [1,2,3,4,5,6,7]. In this chapter we are going to study the occurrence of Mach reflection and its structure. Mach configuration is a structure of nonlinear waves, including three shocks starting from a point and a contact discontinuity. Besides, we will also give a classification on this structure according to the characteristic feature of the flow field, and particularly study the stability of Mach configuration. The main references are [2, 8].

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Correspondence to Shuxing Chen .

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Chen, S. (2020). Stability of Mach Configuration. In: Mathematical Analysis of Shock Wave Reflection. Series in Contemporary Mathematics, vol 4. Springer, Singapore. https://doi.org/10.1007/978-981-15-7752-9_4

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