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Asymptotic Behavior of Solution to a Chemotaxis Model with Volume-filling Effect
张艳艳 讲师(华东师大数学系)
2018-01-01 12:13  华东师范大学

数学系-偏微分方程中心联合讨论班
题目:Asymptotic Behavior of Solution to a Chemotaxis Model with Volume-filling Effect
报告人:张艳艳 讲师(华东师大数学系)
时间:2011年11月29日(周二)下午13:00-15:00
地点:闵行校区行政楼12楼偏微分方程中心1202报告厅
摘要:In this paper, a 1-d quasilinear nonuniform parabolic chemotaxis model with volume filling effect is studied. We prove that the solution is uniformly bounded in time. Then we indicate the global solution’s existence, uniqueness and smoothness by Amann’s theory. What’s more, with the help of a suitable non-smooth Simon– Lojasiewicz approach, we obtain the results on convergence to equilibrium and the convergence rate.