報告題目：Asymptotic profile of a two-dimensional chemotaxis-Navier-Stokes system with singular sensitivity and logistic source
報告人：王一夫 教授 北京理工大學
報告時間：2023年 5月29日 9:00-10:00
報告地點：騰訊會議 ID：997-984-969
或點擊鍊接直接加入會議：https://meeting.tencent.com/dm/tvhaYGHg63nC
校内聯系人：劉長春 liucc@jlu.edu.cn
報告摘要：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.
報告人簡介：王一夫，北京理工大學教授，博士生導師，應用數學系主任。2005年入選教育部新世紀人才支持計劃。主要從事退化抛物方程組的周期問題、趨向性交錯擴散抛物系統的動力性态等理論研究。 在Math. Models Meth. Appl. Sci., Calc. Var. Partial Differential Equations, JDE, Nonlinearity等高水平雜志上發表論文80多篇。主持多項國家自然科學基金面上項目。
