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理學(xué)院:學(xué)術(shù)報(bào)告:Uniform global well-posedness for an Euler-Poisson system with small parameters

來源:理學(xué)院發(fā)布時(shí)間:2015-06-17

報(bào)告人: Prof. Yue-Jun PENG (Richard PENG)

Laboratoire de Mathématiques, CNRS UMR 6620,

Université Blaise Pascal

報(bào)告題目:Uniform global well-posedness for an Euler-Poisson system with small parameters

時(shí)間: 2015615日下午3:30-4:30

地點(diǎn): 江寧校區(qū)勵(lì)學(xué)樓 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.

歡迎廣大師生參加。

報(bào)告人簡(jiǎn)介: 彭躍軍,法國(guó)克萊蒙二大數(shù)學(xué)實(shí)驗(yàn)室教授,先后師從于李大潛院士及法國(guó)著名數(shù)學(xué)家D. Serre 教授。主要研究方向?yàn)槭睾懵孰p曲組的熵解、擬線性雙曲組的光滑解、半導(dǎo)體及等離子體的動(dòng)力學(xué)模型的漸近分析及PDE中的初值和邊界層分析,在國(guó)際知名期刊發(fā)表論文70余篇,是偏微分方程領(lǐng)域的國(guó)際知名數(shù)學(xué)家。