Boundedness and large time behavior in a chemotaxis model for tumor invasion
报 告 人:: 穆春来
报告地点:: 数学与统计学院6楼大应用数学实验室
报告时间:: 2018年12月08日星期六09:30-10:30

This talk deals with the chemotaxis system for the couple tumor invasion

in a smooth bounded domain 2 Rn(n = 1; 2; 3; 4; 5), subject to the nonnegative initial data and homogeneous Neumann boundary conditions, where D is a given function satisfying D(u) CDum􀀀1 for all u > 0 with m > 0 and CD > 0. S is a given function with values in Rnnwhich ful lls jS(x; u; v)j  CS(1 + u)􀀀 with some CS > 0 and > 0. It is shown that for any nonnegative and suitably regular initial data, this system possesses a unique global bounded classical solution under some assumptions. Based on the boundedness property, it can nally be proved that the above solutions approach to the spatially homogenous equilibrium in the sense that stabilizes to the constant stationary solution in an appropriate sense.

发 布 人:吴双 发布时间: 2018-12-05
穆春来, 重庆大学教授。博士生导师,数学学院院长。国际知名偏微分方程专家。东北师范大学大应用数学实验室学术委员会委员。