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Negligibility of haptotaxis effect in a chemotaxis-haptotaxis model
时间:2021年09月01日 16:18 点击数:

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。

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