Abstract
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.
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Project supported by China Scholarship Council (Nos. 2008631071, 2009610055) and the EPSRC Science and Innovation Award to the Oxford Centre for Nonlinear PDE (No. EP/E035027/1).
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Deng, X., Xiang, W. Global solutions of shock reflection by wedges for the nonlinear wave equation. Chin. Ann. Math. Ser. B 32, 643–668 (2011). https://doi.org/10.1007/s11401-011-0673-0
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DOI: https://doi.org/10.1007/s11401-011-0673-0