應(yīng)yl7703永利官網(wǎng)邀請(qǐng)，美國(guó)阿拉巴馬大學(xué)數(shù)學(xué)系趙山教授將于2021年6月21日作線上學(xué)術(shù)報(bào)告。

報(bào)告題目：Regularization methods for the Poisson-Boltzmann model with sharp or diffuse interfaces

時(shí)    間：2021年6月21日上午9：00

地    點(diǎn)：騰訊會(huì)議（會(huì)議ID982884640未設(shè)密碼）

摘    要：Both the sharp interface and diffuse interface Poisson-Boltzmann (PB) models have been presented in the literature for studying electrostatic interactions between a solute molecule and its surrounding solvent environment. In the mathematical analysis and numerical computation for these PB models, a significant challenge is due to singular charge sources in terms of Dirac delta distributions. To overcome this difficulty, various regularization methods have been developed to analytically capture the solution singularities in the sharp interface PB model. Recently, we have compared four such regularization schemes in terms of accuracy and efficiency. More recently, we have developed the first regularization method for the diffuse interface PB model, and investigated its convergence when the diffused Gaussian-convolution surface (GCS) approaches to the sharp solvent accessible surface (SAS). Due to the limitation in numerical algorithm and mesh resolution, such a convergence is impossible to be realized numerically. Through analysing the weak solution for the regularized PB equations, the convergences for both the reaction-field potential and electrostatic free energy are rigorously proved. This convergence study enables us to unify the regularization for both sharp interface and diffuse interface PB models.

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趙山教授簡(jiǎn)介

1997年獲蘭州大學(xué)數(shù)學(xué)系學(xué)士學(xué)位，2003年獲新加坡國(guó)立大學(xué)計(jì)算科學(xué)系博士學(xué)位，美國(guó)密歇根州立大學(xué)博士后。自2006年任教于美國(guó)阿拉巴馬大學(xué)數(shù)學(xué)系，2015年提前晉升為數(shù)學(xué)系正教授。在分子生物學(xué)、計(jì)算電磁學(xué)、工程計(jì)算等交叉學(xué)科開(kāi)展了包括數(shù)學(xué)建模、數(shù)值分析、和算法創(chuàng)新在內(nèi)的一系列基礎(chǔ)研究工作，現(xiàn)已發(fā)表了70余篇SCI雜志論文，得到美國(guó)國(guó)家科學(xué)基金的連續(xù)資助。

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17日