| Abstract: |
| In this talk, we introduce our recent work on the existence and unique location of the three-dimensional transonic shock with large swirl velocity for axisymmetric full Euler equations in a cylinder, with appropriate boundary conditions at the entrance of the nozzle and the receiver pressure at the exit of the nozzle. It is the first mathematical result on the three-dimensional transonic shock with large swirl velocity. We investigate the important role of the non-zero swirl in uniquely determining the shock location. |
|