Global Solutions of Shock Reflection by Wedges for the Nonlinear Wave Equation

摘要

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,0,1 is the optimal regularity for the solutions across the degenerate sonic boundary.