中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
报告人:琚强昌 研究员(北京应用物理与计算数学研究所)
题目:Mathematical analysis of Euler-Poisson system in a bounded domain
时间:2016年12月21日, 下午2:00--3:00
地点:思源楼S705
摘要:We give the rigorous studies for the quasineutral limit of the two-fluid Euler-Poisson system in a torus or a domain with boundary in $R^3$. In a torus, the limit is one-fluid compressible Euler equations when the leading profiles of the initial velocities for two particles are assumed to be same. However, in a domain with boundaries, the quasineutrality breaks down near the boundary since the boundary layers generally develop due to the interaction between plasma and the boundary. We consider a non-penetration boundary condition for velocity and Dirichlet boundary condition for electric potential and prove the existence and stability of the boundary layers.