報告題目： Critical blow-up exponents in a chemotaxis system with indirect signal production
報 告 人：陶有山教授 上海交通大學
報告時間：2023年6月27日 14:00-15:00
報告地點：騰訊會議 ID：224-560-400
或點擊鍊接直接加入會議：https://meeting.tencent.com/dm/0nTBt5hzRC6Y
校内聯系人：劉長春 liucc@jlu.edu.cn
報告摘要：This talk addresses an initial-boundary problem for a quasilinear chemotaxis system with indirect attractant production, as arising in the modeling of effects due to phenotypical heterogeneity in microbial populations. Under the assumption that the rates $D$ and $S$ of diffusion and cross-diffusion are suitably regular functions of the population density, essentially exhibiting asymptotically algebraic behavior at large densities. A critical line in low-dimensional cases and two critical lines in higher-dimensional cases concerning the exponents of $D$ and $S$ for the occurrence of blow-up were found. This is a recent joint work with Prof. Michael Winkler (Paderborn).
報告人簡介：陶有山，上海交通大學數學科學學院教授， 博士生導師。曾多次在美國俄亥俄州立大學、日本東京大學進行學術訪問。研究方向為偏微分方程、生物數學。近幾年主要研究來自于生物過程的趨化模型，在JEMS、SIAM、 Ann. Inst. H. Poincaré Anal. Non Linéaire、Math. Models Methods Appl. Sci.、J. Nonlinear Sci.、Inverse Problems、JMB、Nonlinearity、JDE等國際知名數學發表期刊論文100多篇，MR引用4000多次，10餘篇論文入選ESI高被引論文。主持國家基金及省部級項目10餘項。現擔任2份國際SCI期刊Nonlinear Analysis: Real World Applications 和EMS Surveys in Mathematical Sciences 的編委。
