【数学学院】Global solutions to a two-species chemotaxis model with consumption of chemoattractant and singular sensitivity

学 术 报 告

题目：Global solutions to a two-species chemotaxis model with consumption of chemoattractant and singular sensitivity

报告人：穆春来教授

重庆大学数学学院院长

报告时间：12月3日星期一 11:25-12:10

报告地点：数学学院西303

摘要：This talk deals with a two-competing-species chemotaxis system with singular sensitivity with homogeneous Neumann       boundary conditions in a smooth bounded domain Ω⊂R^n(n≥1), where the initial data are non-negative. It is proved that the   corresponding initial-boundary value problem possesses a unique global classical if χi and µi are constants satisfying some  conditions for i = 1, 2. Particularly, in the one-dimensional setting, we prove a global bounded classical solution for any  χi > 0 and µi > 0. Moreover, we establish the existence of a generalized global solution for arbitrary χi > 0 and µi > 0.

邀请人：吕克宁 杜力力

来源链接：http://math.scu.edu.cn/info/1062/4236.htm