报告题目：Asymptotic profile of a two-dimensional chemotaxis-Navier-Stokes system with singular sensitivity and logistic source
报告人：王一夫 教授 北京理工大学
报告时间：2023年 5月29日 9:00-10:00
报告地点：腾讯会议 ID：997-984-969
或点击链接直接加入会议：https://meeting.tencent.com/dm/tvhaYGHg63nC
校内联系人：刘长春 liucc@jlu.edu.cn
报告摘要：This talk is mainly concerned with a spatially two-dimensional version of a chemotaxis system with logistic cell proliferation and death, for a singular tactic response of standard logarithmic type, and with interaction with a surrounding incompressible fluid through transport and buoyancy. Systems of this form are of significant relevance to the understanding of chemotaxis-fluid interaction, but the rigorous knowledge of their qualitative properties is yet far from complete even in the two-dimensional setting. In this direction, using the conditional energy functional method, we will provide some interesting contributions by establishing results on global boundedness, and especially on large timestabilization toward homogeneous equilibria, under mild assumptions on the initial data and appropriate conditions on the strength of the damping death effects. This is a joint work with Peter Y.~H.~Pang and Jingxue Yin.
报告人简介：王一夫，北京理工大学教授，博士生导师，应用数学系主任。2005年入选教育部新世纪人才支持计划。主要从事退化抛物方程组的周期问题、趋向性交错扩散抛物系统的动力性态等理论研究。 在Math. Models Meth. Appl. Sci., Calc. Var. Partial Differential Equations, JDE, Nonlinearity等高水平杂志上发表论文80多篇。主持多项国家自然科学基金面上项目。
