郝成春的个人主页 | Chengchun HAO's Homepage
研究员、博士生导师,中国科学院数学与系统科学研究院 数学研究所 | Professor, Institute of Mathematics, AMSS, CAS
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
题目/Title: Stability of non-constant steady-state solutions for bipolar non-isentropic Euler-Maxwell equations with damping terms
报告人:冯跃红 博士 (北京工业大学)
题目:Stability of non-constant steady-state solutions for bipolar non-isentropic Euler-Maxwell equations with damping terms
时间:2016年12月21日 下午4:00-5:00
地点:思源楼S705
摘要:In this talk, we consider the periodic problem for bipolar non-isentropic Euler-Maxwell equations with damping terms in plasmas. By means of an induction argument on the order of the time-space derivatives of solutions in energy estimates, the global smooth solution with small amplitude was established close to a non-constant steady-state solution with asymptotic stability property. Furthermore, we obtain the global stability of solutions with exponential decay in time near the non-constant steady-states for bipolar non-isentropic Euler-Poisson equations. This phenomenon on the charge transport shows the essential relation and difference between the bipolar non-isentropic and the bipolar isentropic Euler-Maxwell/Poisson equations.
附件/Attachment