Global solutions of shock reflection by wedges for the nonlinear wave equation

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Original languageEnglish
Pages (from-to)643-668
Journal / PublicationChinese Annals of Mathematics. Series B
Issue number5
Publication statusPublished - Sep 2011
Externally publishedYes


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. © 2011 Fudan University and Springer-Verlag Berlin Heidelberg.

Research Area(s)

  • Compressible flow, Conservation laws, Nonlinear wave system, Regular reflection