报告人:向田
报告地点:腾讯会议ID:927558335
报告时间:2021年09月02日星期四14:00-15:00
邀请人:李敬宇
报告摘要:
In this talk, we rigorously study chemotaxis effect versus haptotaxis effect on boundedness, blow-up and asymptotical behavior of solutions for a chemotaxis-haptotaxis model in 2D settings. It is well-known that the corresponding Keller-Segel chemotaxis-only model possesses a striking feature of critical mass blowup phenomenon, namely, subcritical mass ensures boundedness, whereas, supercritical mass induces the existence of blow-ups. Herein, we show that this critical mass blow-up phenomenon stays almost the same in the full chemotaxis-haptotaxis model and that any global-in-time haptotaxis solution component vanishes exponentially and the other two solution components converge exponentially to that of chemotaxis-only model in a global sense for suitably large chemo-sensitivity and in the usual sense for suitably small chemo-sensitivity. Therefore, haptotaixs is neither good nor bad than chemotaxis, showing negligibility of haptotaxis effect in the underlying chemotaxis-haptotaxis model.
主讲人简介:
2014年5月博士毕业于美国Tulane大学。现为人民大学数学科学研究院副教授,博士生导师。已在MMMAS, CVPDE, SIAP,JDE, Nonlinearity, JNS等杂志上发表三十篇论文,获得国家自然科学基金青年以及面上基金的资助。