新皇冠体育

最新资讯   News
搜索   Search
主页 > 学术信息 > 正文

中国人民大学向田副教授学术报告

时间:2020-01-03 13:44      来源:新皇冠体育

报告题目:On boundedness, gradient estimate, blow-up and convergence in a two-species and two-stimuli chemotaxis system with/without loop

报  告 人:向田 副教授(中国人民大学

报告时间:202015日(周日)11:00

报告地点:清水河校区主楼A1-513

   人:向昭银 教授


报告摘要:

In this talk,  we  report dynamic properties of classical solutions to a  homogenous  Neumann initial-boundary value problem (IBVP) for a two-species and two-stimuli  chemotaxis model with/without chemical signalling loop in a 2D  bounded and smooth domain. In radial and elliptic simplification settings, we provide a substantial step toward the (simultaneous) global boundedness and (simultaneous) finite-time blow up. In the general case, i.e., no radial and elliptic simplifications, we successfully detect the product of two species masses as a feature to determine boundedness, gradient estimate, blow-up and W^{j,\infty}( j\geq 1)-exponential convergence of classical solutions for the corresponding IBVP. This report is based on recent two joint projects with K. Lin from Southwestern University of Finance and Economics.


报告人简介:

向田,20145月博士毕业于美国杜兰大学(Tulane University),偏微分方程专业,现为人民大学数学科学研究院副教授,硕士生导师,人民大学青年学者B; 研究兴趣为偏微分方程及其应用, 非线性分析以及动力系统,近年来主要从事趋化(chemotaxis, 一种重要的生物定向运动机制)相关模型的研究, 已在SIAP, JDE, Nonlinearity, JNS, EJAM, JMPDCDS等杂志上发表31篇论文(含一篇博士学位论文),被引用136余次(mathscinet),研究获得中央高校科研启动基金,人民大学人才培育基金,博士后基金一等以及国家自然科学基金青年基金的资助。


Copyright © 2020 新皇冠体育