报告题目: Stability of Logarithmically Sensitive Chemotaxis Model under Dynamic Boundary Conditions

报告人： 赵昆 教授 (哈尔滨工程大学)

报告时间： 2025年5月30日上午9：00
报告地点：腾讯会议：964578578

报告人简介：赵昆，哈尔滨工程大学数学科学学院教授，海外高层次引进人才，中国科学技术大学本科硕士，美国佐治亚理工学院博士，美国俄亥俄州立大学数学生物学研究所博士后，曾任美国爱荷华大学数学系访问助理教授，美国杜兰大学数学系助理教授及终身副教授。主要从事生物数学、流体力学、数学物理等领域中非线性偏微分方程的定性和定量分析研究。

报告摘要: In contrast to random diffusion without orientation, chemotaxis is the biased movement of biological entities toward the region that contains higher concentration of beneficial or lower concentration of unfavorable chemicals. The former often refers to as chemo-attraction and the latter as chemo-repulsion. Chemotaxis has been advocated as a leading mechanism to account for the morphogenesis and self-organization of a variety of biological coherent structures such as aggregates, fruiting bodies, clusters, spirals, spots, rings, labyrinthine patterns and stripes. This talk is built on a sequence of recent results on the qualitative analysis of a system of hyperbolic-parabolic balance laws arising from a chemotaxis model with logarithmic sensitivity. Specifically, we focus on the long-time asymptotic behavior of classical solutions to the PDE with naturally prepared initial data and subject to evolutionary boundary conditions of Dirichlet and Neumann type. Some open problems will also be discussed.