报告题目 (Title)：Full Euler-Poisson方程组的半空间问题
（A half-space problem on the full Euler-Poisson system）
报告人 (Speaker)： 尹海燕副教授（华侨大学）
报告时间 (Time)：2021年11月19日(周五) 14:30-16:30
参会方式：腾讯会议
会议ID：782 679 504
会议密码：6789
主办部门：理学院数学系
报告摘要：In this talk, we are concerned with the initial-boundary value problem on the full Euler-Poisson system for ions over a half line. We establish the existence of stationary solutions under the Bohm criterion similar to the isentropic case and further obtain the large time asymptotic stability of small-amplitude stationary solutions provided that the initial perturbation is sufficiently small in some weighted Sobolev spaces. Moreover, the convergence rate of the solution toward the stationary solution is obtained. The proof is based on the energy method. A key point is to capture the positivity of the temporal energy dissipation functional and boundary terms with suitable space weight functions either algebraic or exponential depending on whether or not the incoming far-field velocity is critical.