報(bào)告題目：Analysis of two chemotaxis models with mixed or complex signal mechanisms

報(bào)告專(zhuān)家：陶有山教授（上海交通大學(xué)）

報(bào)告時(shí)間：2024年7月11日（周四）14：30-15：30

報(bào)告地點(diǎn)：3C-103

報(bào)告摘要：This talk first reports a recent study on a chemotaxis system modeling T-cell dynamics with simultaneous production and consumption of signals. Then, this talk presents a global existence result on the Neumann initial-boundary problem in three-dimensional domains for a four-component chemotaxis system with a zero-order exciting nonlinearity of quadratic type and with a certain indirect mechanism of attractant evolution, which has been proposed as a model for the response of cytotoxic T-lymphocytes to a solid tumor.

專(zhuān)家簡(jiǎn)介：陶有山，上海交通大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授，博士生導(dǎo)師，研究方向?yàn)槠⒎址匠毯蜕飻?shù)學(xué), 曾多次在美國(guó)俄亥俄州立大學(xué)和日本東京大學(xué)進(jìn)行學(xué)術(shù)訪問(wèn)。近年來(lái)主要研究來(lái)自于生物過(guò)程的趨化模型，在JEMS、SIAM、 Ann. Inst. H. Poincare Anal. Nonlinearity、Math. Models Methods Appl. Sci.、JDE、J. Nonlinear Sci.、JMB、Nonlinearity等國(guó)際知名數(shù)學(xué)期刊發(fā)表論文100余篇，MR引用近5000次，10余篇論文入選ESI高被引論文。2018-2022年連續(xù)5年入選科睿唯安“全球高被引科學(xué)家”。現(xiàn)擔(dān)任期刊Nonlinear Analysis: Real World Applications 和EMS Surveys in Mathematical Sciences 的編委。主持國(guó)家自然科學(xué)基金及省部級(jí)項(xiàng)目10余項(xiàng)。