关于举行华南师范大学金春花教授学术报告会的通知

报告题目：Global Solvability and Large Time Behavior to a Chemotaxis Model with Nonlinear Diffusion 
报 告 人: 金春花教授（华南师范大学）
报告时间：2018年5月3日（星期四）上午10:00-11:00
邀 请 人：金海洋副教授
报告地点：四号楼4318会议室 

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                                                                                          数学学院
                                                                                       2018年4月26日
报告摘要：
In this paper, we study a chemotaxis model with with porous medium slow diffusion $\Delta u^m (m > 1)$. We consider this problem in a bounded domain of R^3 with zero-flux boundary condition, and it is  shown that for any large initial datum, for any m > 1, the problem admits a global uniformly bounded weak solution。Subsequently, the large time behavior of the solutions are also discussed. The methods and results of this paper are also applicable for the coupled chemotaxis-Stokes system. In particular, for the case without bacteria proliferation, the present results improved the work of Tao, Winkler et.al [2013, Ann. I. H. Poincar´e AN; 2015, CVPDE; 2018, JDE], in which , the global existence or boundedness is established for m>7/6, m>8/7, m>9/8， respectively.