讲座题目：Reaction-Diffusion Models and Bifurcation Theory in Mathematical Biology
报 告 人：史峻平 教授 College of William & Mary, USA
报告地点：腾讯会议 ID：310 172 2236
或点击链接直接加入会议：https://meeting.tencent.com/p/3101722236
校内联系人：刘长春 liucc@jlu.edu.cn
Abstract: In mathematical models from physical or biological applications, non-homogeneous states often arise as a result of symmetry breaking from homogeneous states, which is called bifurcation phenomenon. Some classical and new abstract bifurcation theorems, including local, global, and Hopf bifurcations, will be reviewed or introduced; secondly we show some applications of these results in nonlinear partial differential equations arising from biological systems, and we focus on the effect of diffusion, advection, taxis and nonlocal terms on the dynamics. We also show the global bifurcation structure and exact multiplicity of steady state solutions. The course is suitable for advanced undergraduate students and graduate students in nonlinear analysis/partial differential equations and mathematical biology who are familiar with partial differential equations, dynamical systems and functional analysis.
授课日期 Date of Lecture |
课程名称（讲座题目） Name (Title) of Lecture |
授课时间 Duration |
参与人数 Number of Participants |
2021.8.11 |
Abstract Bifurcation Theory |
8:30-9:30 |
15-20 |
2021.8.12 |
Modeling with Ordinary Differential Equations |
8:30-9:30 |
15-20 |
2021.8.13 |
Modeling with Reaction-Diffusion Equations |
8:30-9:30 |
15-20 |
2021.8.14 |
Numerical methods, chemotaxis, and nonlocal models |
8:30-9:30 |
15-20 |
2021.8.15 |
Local, Global Existence and Stability |
8:30-9:30 |
15-20 |
2021.8.16 |
Global Bifurcations and applications |
8:30-9:30 |
15-20 |
2021.8.17 |
Hopf Bifurcations |
8:30-9:30 |
15-20 |
2021.8.18 |
Turing Instability and Steady State Bifurcations, Hopf Bifurcations |
8:30-9:30 |
15-20 |
报告人简介：史峻平，美国威廉玛丽学院(College of William & Mary)数学系主任, 教授。主要研究方向为偏微分方程，分歧理论，生物数学。在偏微分方程、分歧理论、生物数学等方面的研究工作受到国际上广泛重视。在CPAM、Trans. Amer. Math. Soc.、SIAM J. Appl. Math.、 JFA、 CVPDE、JDE等高水平杂志发表学术论文180余篇，被SCI杂志引用3000多次。担任JMAA、 CPAA等多个国际知名SCI刊物编委。主持参加美国国家科学基金会基金项目多项，主持组织国际学术会议20多次，在国际学术会议做大会报告/邀请报告100余次。
