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| Global Solutions of Shock Reflection by Wedges for the Nonlinear Wave Equation |
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Citation： |
Xuemei DENG,Wei XIANG.Global Solutions of Shock Reflection by Wedges for the Nonlinear Wave Equation[J].Chinese Annals of Mathematics B,2011,32(5):643~668 |
| Page view： 2010
Net amount： 1203 |
Authors： |
Xuemei DENG; Wei XIANG; |
Foundation： |
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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| 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, C0;1 is the optimal regularity for the
solutions across the degenerate sonic boundary. |
Keywords： |
Compressible flow, Conservation laws, Nonlinear wave system, Regular
reflection |
Classification： |
35M10, 76H05 |
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