理学院：学术报告：Uniform global well-posedness for an Euler-Poisson system with small parameters

报告人: Prof. Yue-Jun PENG (Richard PENG)

Laboratoire de Mathématiques, CNRS UMR 6620,

Université Blaise Pascal

报告题目：Uniform global well-posedness for an Euler-Poisson system with small parameters

时间： 2015年6月15日下午3:30-4:30

地点： 江宁校区励学楼 A 109

Abstract: In this talk, I will consider an Euler-Poisson system with

three small parameters arising in the modeling of unmagnetized plasmas

and semiconductors. For initial data close to constant equilibrium

states, I will show the uniform global existence of smooth solutions

with respect to the parameters. This result implies the global-in-time

convergence of the Euler-Poisson system as each of the parameters goes

to zero. The proof is based on a unified energy estimate which is valid

for all the parameters.

欢迎广大师生参加。

报告人简介: 彭跃军，法国克莱蒙二大数学实验室教授，先后师从于李大潜院士及法国著名数学家D. Serre 教授。主要研究方向为守恒率双曲组的熵解、拟线性双曲组的光滑解、半导体及等离子体的动力学模型的渐近分析及PDE中的初值和边界层分析，在国际知名期刊发表论文70余篇，是偏微分方程领域的国际知名数学家。