Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems

Myoungjean Bae, Korea Advanced Institute of Science and Technology, Daejeon, Korea.Gui-Qiang G. Chen, University of Oxford, United Kingdom.Mikhail Feldman, University of Wisconsin, Madison, Wisconsin.

• Acknowledgments1. Introduction2. Mathematical Problems and Main Theorems3. Uniform Estimates of Admissible Solutions4. Iteration Set5. Existence of Admissible Solutions Up to $\beta _\mathrm {d}^{(v_{\infty })}$ - Proof of Theorem 2.316. Optimal Regularity of Admissible Solutions - Proof of Theorem 2.33A. The Shock Polar for Steady Potential FlowB. Non-Existence of Self-Similar Strong Shock SolutionsC. Quasilinear Elliptic Equations in Two Variables