Title：Long term wellposedness of the 2D Euler-Poisson equation
Speaker：郑 凡 （普林斯顿大学）
Time：2019年9月2日（周一） 下午 15:00-16:00
Room：东区管理科研楼 0029cc金沙贵宾会1418室
Abstract：In 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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