Euler-Poisson equations with sonic boundary: structural stability, quasi-neutral limits, relaxation-time limits
报告人：梅茗（加拿大McGill大学及Champlain公司）
时间：2024-07-12 14:30-15:30
地点：智华楼四元厅
摘要： In this talk, we present our series of studies on Euler-Poisson equations with sonic boundary. Sonic boundary is a critical boundary, which with the doping profile causes many difficulties for the structure of solutions. We first study the structural stability of steady subsonic/ transonic solutions, when the doping profile is a small perturbation. Then, we study the quasi-neutral limits as the Debye length is vanishing. Finally we present the result on relaxation time limit. The singularity at the boundary layers makes the study to be challenging.
