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--- 分析与偏微分方程讨论班(2021秋季第11讲)

题目: Role of sub-logistic source in chemotaxis-only, chemotaxis-haptotaxis and chemotaxis-fluid models

报告人: 向田（中国人民大学）

时间：2021-12-16 14：00-15：00 (周四下午)

地点: 腾讯会议 ID：967-450-456

会议链接：https://meeting.tencent.com/dm/fuqPMrECciiY

摘要:In this talk, we illustrate the role of sub-logistic source in 2D minimal chemotaxis-only, chemotaxis-haptotaxis and chemotaxis-fluid models: our boundedness improves known “blow-up prevention by logistic source” to “blow-up prevention by sub-logistic source” in respective cases, indicating standard logistic source is not the weakest damping source, and, our stability improves known algebraic convergence under quadratic degradation to exponential convergence under log-correction of quadratic degradation, implying log-correction of quadratic degradation quickens the decay of bounded solutions. Our findings show certain negligiblity of haptotaxis or fluid interaction on chemotaxis in 2D.

报告人简介: 向田，2014年5月博士毕业于美国杜兰大学（Tulane University），偏微分方程专业，现为人民大学数学科学研究院副教授，博士生导师。在MMMAS, CVPDE, SIAP, JDE, Non-linearity, JNS等杂志上发表三十余篇论文，被引300余次，研究曾获博士后基金，国家自然科学基金青年以及面上基金的资助。