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09-02【郑凡】管楼1418偏微分方程系列报告

澳门新葡新京:系统管理员发布时间:2019-08-31浏览次数:12


TitleLong term wellposedness of the 2D Euler-Poisson equation
Speaker郑 凡    (普林斯顿大学
Time2019年9月2日(周一)      下午  15:00-16:00
Room东区管理科研楼   澳门新葡新京1418室

AbstractIn this talk, I will focus on a fundamental model in plasma physics, namely the Euler-Poisson system, posed on the torus. This equation describes the flow of an incompressible fluid of electrons under its own electrostatic force. I will show the long term regularity of the Euler-Poisson system on 2D tori. The conclusion is that, if the initial data is epsilon close to the constant solution, then the life span of the solution is at least R//epsilon^2(log R)^{O(1)}.


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