主题:   Global existence to a chemotaxis-Navier-Stokes system with mixed boundary condition主讲人:   向昭银 教授地点:   松江校区2号学院楼331理学院报告厅时间:   2018-03-26 09:45:00组织单位:   理学院

报告人简介：向昭银，成都电子科技大学数学科学学院副院长、教授，主要研究偏微分方程，已发表学术期刊论文51篇，被引用320余次。

内容摘要：In this talk,we investigate the large time behavior of strong solutions to a chemotaxis-Navier-Stokes system in an unbounded domain with finite depth and mixed boundary conditions.Based on some uniform {\it a priori} estimates obtained by using the anisotropic $L^p$ technique and the subtle elliptic estimates, we first establish the global existence of strong solution around the equilibriumstate $(0,c_{\mathrm{air}}, {\bf 0})$with the help of the continuity arguments,where$c_{\mathrm{air}}$ is the saturation value of oxygen inside the fluid. Then we use De Giorgi's technique and cutoff method toshow that such a solution will converge to $(0,c_{\mathrm{air}}, {\bf 0})$with an explicit convergence rate in the chemotaxis-free case.Our assumptions and results are consistent with the experimental descriptions and the numerical analysis.

报告主持：陶有山 教授

报告语言：英语

编辑：孙庆华          撰写：陶有山