报告人：Alina Chertock (美国北卡州立大学)

报告题目：Numerical Method for Chemotaxis and Related Models

报告摘要：Chemotaxis is a movement of micro-organisms or cells towards the areas of high concentration of a certain chemical, which attracts the cells and may be either produced or consumed by them. In its simplest form, the chemotaxis model is described by a system of nonlinear PDEs: a convection-diffusion equation for the cell density coupled with a reaction- diffusion equation for the chemoattractant concentration. It is well-known that solutions of such systems may develop spiky structures or even blow up in finite time provided the total number of cells exceeds a certain threshold. This makes development of numerical methods for chemotaxis systems extremely delicate and challenging task.

In this talk, I will present a family of high-order numerical methods for the Keller-Segel chemotaxis system and several related models. Applications of the proposed methods to to multi-scale and coupled chemotaxis–fluid system and will also be discussed.

报告人简介：阿琳娜-爱米尔-切尔托克(Alina Chertock)，莫斯科国立大学硕士，以色列特拉维夫大学博士，美国伯克利大学博士后。北卡州立大学终身教授，切尔托克现为美国北卡州立大学数学系主任, 莫斯科物理与技术研究所兼职教授。切尔托克教授主要从事偏微分方程方面的研究成果，曾受邀访问图卢兹大学、剑桥大学、伦敦帝国学院、德国美因茨大学、德国斯图加特大学、加州洛杉矶分校、约翰霍普金斯大学等著名高校。

报告时间：2017年4月28日周五下午14：30-15:30

报告地点：科技南楼702