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.
地点：思源楼S705
摘要：We consider the couette flow problem for threei-dimensional compressible Navier-Stokes equations under the navier-slip boundary added at the bottom, and prove that the plane Couette flow is asymptotically stable for small perturbation provided that the slip length, Reynolds and Mach numbers satisfy some specific conditions. In particular, the Renolds number and the Mach number can be large if the slip length is suitably small.
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报告人：冯跃红 博士 (北京工业大学)
附件：