报告人：李敬宇(东北师范大学)

时间：2024年03月24日 10:00-

地址：理科楼LA103

摘要：We are interested in a PDE-ODE hybrid chemotaxis model with logarithmic sensitivity and fast diffusion, which possesses strong singularities for the sensitivity at zero-concentration of chemical signal, and for the diffusion at zero-population of cells, respectively. The main purpose is to show the existence of traveling waves connecting the singular zero-end-state, and particularly, to show the asymptotic stability of these traveling waves. The challenge of the problem is the interaction of two kinds of singularities involved in the model: one is the logarithmic singularity of the sensitivity; and the other is the power-law singularity of the diffusivity. To overcome the singularities for the wave stability, some new techniques of weighted energy method are introduced artfully. This talk is based on a joint work with Xiaowen Li, Dongfang Li and Ming Mei.

简介：李敬宇,东北师范大学教授，博士生导师。主要关注生物学和流体力学中的偏微分方程的数学理论研究。论文发表在《Proc. London Math. Soc.》,《SIAM J. Math. Anal.》,《Math. Models Methods Appl. Sci.》,《J. Differential Equations》等国际著名SCI数学期刊上。获得过国家自然科学基金面上项目2项与吉林省自然科学基金。

邀请人：穆春来

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