Smooth Transonic Flows and Mixed Type Equations - ICBS 2024

Explore the complexities of smooth steady transonic flows in this 1-hour 14-minute lecture by Zhouping Xin at BIMSA. Delve into the challenges posed by the steady compressible Euler equations as they become mixed type and degenerate. Examine the existence of smooth transonic flows with specific symmetries and in quasi-2D models. Focus on flows with rotations, positive accelerations, and non-zero vorticities. Learn about the difficulties in determining the location and rates of degeneracy at sonic points in nonlinear problems. Discover insights from joint works with Chunpeng Wang, Shangkun Weng, and Hongwei Yuan, supported by HKRGC and NSFC Grants.