應(yīng)yl7703永利官網(wǎng)徐強(qiáng)副教授邀請，美國杜克大學(xué)王力漢博士將于2021年6月25日在線舉辦專題學(xué)術(shù)講座，熱忱歡迎諸位老師、研究生的參加。

報(bào)告題目：Artificial optimal boundary conditions for three dimensional elliptic random media.

時(shí)間：6月25日上午9：00。

地點(diǎn)：理工樓518(騰訊會議)。

騰訊會議ID: 116 893 577

摘要：We are interested in computing the electrical field generated by a charge distribution localized on scale \ell in an infinite heterogeneous medium, in a situation where the medium is only known in a box of diameter L>>\ell around the support of the charge. We propose an artificial boundary condition that with overwhelming probability is (near) optimal with respect to scaling in terms of \ell and L, in the setting where the medium is a sample from a stationary ensemble with a finite range of dependence (set to be unity and in the regime 1<<\ell. The boundary condition is motivated by stochastic homogenization that allows for a multipole expansion [Bella, Giunti, Otto 2020]. This work extends [Lu, Otto, 2020] from two to three dimensions, which requires to take quadrupoles, next to dipoles, into account. This in turn relies on stochastic estimates of second-order, next to first-order, correctors. These estimates are provided for finite range ensembles under consideration, based on an extension of the semi-group approach of [Gloria, Otto 2015].

王力漢博士簡介

王力漢博士本科畢業(yè)于清華大學(xué)數(shù)學(xué)系，博士畢業(yè)于美國杜克大學(xué)，師從魯劍鋒教授。他的研究興趣集中在應(yīng)用分析、概率及數(shù)值分析領(lǐng)域。王力漢博士有多篇論文發(fā)表，收錄在annals of applied probability、communications in mathematical sciences等國際一流期刊上。他在2021年獲得魯丁杰出博士論文獎(jiǎng)（Rudin Prize）。稍后，他將前往卡耐基梅隆大學(xué)繼續(xù)開展博士后階段的研究工作。

甘肅省應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)重點(diǎn)實(shí)驗(yàn)室

yl7703永利官網(wǎng)

萃英學(xué)院

2021年6月21日