报告题目一: Some recent results on the Keller-Segel(-fluid) system
报 告 人:向昭银 教授 (电子科技大学)
报告时间:2019年4月1日(星期一)下午15:00-16:00
报告地点:4号楼131室
报告题目二:The small-convection limit in a chemotaxis-Navier-Stokes system
报 告 人:王玉兰教授(西华大学)
报告时间:2019年4月1日(星期一)下午16:00-17:00
报告地点:4号楼131室
邀请人: 金海洋 副教授
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数学学院
2019年3月27日
报告摘要一:
In this talk, we will first review some recent results on the Keller-Segel(-fluid) system.Then we consider the convergence of solutions to a class of parabolic-parabolic Keller-Segel-Navier-Stokes systems to the solution of the parabolic-elliptic counterpart. Under appropriate assumptions on the model ingredients, we derive a general result which asserts certain strong and pointwise convergence properties and will be concretized in the context of two examples. This is a joint work with Professor Michael Winkler and Professor Yulan Wang.
报告摘要二:
In this talk, we consider an initial-boundary value problem for a chemotaxis-(Navier-)Stokes system in a bounded convex domain Ω ⊂R2 with smooth boundary. We concerns the limit problem in which the convection term in the Navier-Stokes system disappears and the Navier-Stokes part reduces to a forced evolutionary Stokes. The main result asserts temporally uniform convergence of solutions of the chemotaxis-Navier-Stokes system to the solution of its chemotaxis-Stokes counterpart.