王学锋教授学术报告

发布时间:2018年07月02日 作者:唐颖   消息来源:业务办    阅读次数:[]

题目:Effective boundary conditions of diffusion equations on domains containing thin layers 报告人:王学锋教授 时间:2018年07月02日(星期一)08:00—12:00 地点:数学院145报告厅 报告摘要:This is going to be a survey talk on a class of diffusion equations. Of concern is the following scenario: a domain consists of two parts, with one of them being a thin layer; on the domain we have a diffusion equation, one of whose physical parameters such as diffusion coefficient has different size scales on different subdomains. This kind of problem arises in real applications such as thermal barrier coatings of turbine engine blades, and effects of roads on the spreading of populations and epidemics. Numerical computation of such a diffusion equation on such a domain is time-consuming because we would need very fine grids on the thin layer; moreover, we cannot see easily the effects of the thin layer on the dynamics of the diffusion equation. A good way to resolve this problem is to think of the thin layer as a thickless surface/curve, on which we impose an effective boundary condition(EBC); then hopefully with ease we can solve, numerically, the diffusion equation on the remaining subdomain with the EBC; furthermore, we can see the effects of the thin layer via EBC. We will review classic theorems, and introduce results obtained in recent years, as well as results that have not been published. These results not only are of practical significance, but also bring some new challenges to pure PDE-research. 报告人简介:王学锋,南方科技大学教授,广东省数学学会常务理事。分别于1984年、1986年获北京大学理学学士学位,理学硕士学位,于1990年于美国明尼阿波利斯市明尼苏达大学获博士学位。主要研究方向为偏微分方程及应用,曾任华东师范大学客座教授。主持参加中国国家科学基金会基金项目多项 目前任国际SCI刊物《Communication on Pure and Applied Analysis》,《East Asian Journal on Applied Mathematics》编委。主持组织学术会议达8次,在国际学术会议做大会报告/邀请报告51余次。在国际期刊《Proceedings of American Mathematical Society》,《Communications on Pure and Applied Mathematics》,《Transactions of the American Mathematical Society》,《Archive for Rational Mechanics and Analysis》等上发表SCI学术论文40余篇,Mathematical Reviews显示文章被引用1514余次。



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