In this short course, we will discuss the Euler equations and applications in gas dynamics and geometry. First, the basic theory of Euler equations and mixed-type problems will be reviewed. Then we will present the results on the transonic flows past obstacles, transonic flows in the fluid dynamic formulation of isometric embeddings, and the transonic flows in nozzles. We will discuss global solutions and stability obtained through various techniques and approaches. The short course consists of three parts and is accessible to PhD students and young researchers.
Further Information
This course is running as part of the National PDE Network Meeting being held in Oxford 18-21 March 2024, and jointly with the 13th Oxbridge PDE conference.
The course is broken into 3 sessions over two days, with all sessions taking place in L2:
14:15-14:55: Short Course I-1 Monday 18 March
9:45-10:25: Short Course I-2 Tuesday 19 March
14:15-14:55: Short Course I-3 Tuesday 19 March
Euler Equations and Mixed-Type Problems in Gas Dynamics and Geometry WANG_Oxford2024.pdf