Three-dimensional supersonic flows for the steady Euler-Poisson system
数学专题报告
报告题目(Title)：Three-dimensional supersonic flows for the steady Euler-Poisson system
报告人(Speaker)：Hyangdong Park (Korea Institute for Advanced Study (KIAS))
地点(Place)：后主楼1124
时间(Time)：2025年7月30日 （星期三） 9：00-10：00
邀请人(Inviter)：袁迪凡
报告摘要
We discuss the unique existence of an axisymmetric supersonic solution with nonzero vorticity and nonzero angular momentum density for the steady Euler-Poisson system in three-dimensional divergent nozzles when prescribing the velocity, strength of electric field, and the entropy at the entrance. We first reformulate the problem via the method of the Helmholtz decomposition for three-dimensional axisymmetric flows and obtain a solution to the reformulated problem by the iteration method. We deal carefully with singularity issues related to the polar angle on the axis of the divergent nozzle.
