学术报告报告题目1：Thin-film-type approximation to a doubly cross-diffusive system
报 告 人：陶有山教授(上海交通大学)
报告时间：2021年5月27日（星期四）下午 15:00-16:00
报告题目2: Global well-posedness of chemotaxis-fluid model under different boundary conditions
报 告 人: 金春花教授(华南师范大学)
报告时间: 2021年5月27日（星期四）下午 16:00-17:00
报告地点：4号楼 4318 室
邀 请 人：金海洋副教授
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数学学院
2021年05月24日
报告摘要1：This talk reports a recent progress in the study of so-called pursuit-evasion system which describes a fully cross-diffusive interaction mechanism between predators and preys. The system formally possesses two basic entropy-like structures, but the regularity thereby implied seems insufficient to ensure global solvability for large data. We design a suitable thin-film-type approximation which allows us to develop a theory not only of global weak solvability, but also of qualitative behavior. The material of the present talk is taken from a recent joint work with Michael Winkler (Paderborn).
报告摘要2：When put the well mixed suspension of Bacillus subtilis cells in a chamber with the upper surface open to the atmosphere, the aerobic bacteria consume oxygen and will swim towards the direction of sufficient oxygen. Based on the experimental observations, Goldstein et. al proposed the chemotaxis-fluid model. In this talk, we will introduce some results on the global well-posedness of chemotaxis-fluid model under different boundary conditions.