A 1-d quasilinear nonuniform parabolic chemotaxis model with volume-filling effect

作者：Zhang, Yanyan^*; Zheng, Songmu

来源：Asymptotic Analysis, 2013, 83(1-2): 101-125.

DOI：10.3233/ASY-2012-1154

• chemotaxis
• volume-filling effect
• quasilinear nonuniform parabolic system
• uniform boundedness
• convergence to equilibrium
• non-smooth Simon-Lojasiewicz approach

In this paper, a 1-d quasilinear nonuniform parabolic chemotaxis model with volume-filling effect is studied. The global existence and uniqueness of classical solution is proved. Furthermore, we prove that the global solution is uniformly bounded in time. With the help of a suitable non smooth Simon Lojasiewicz approach, we obtain the results on convergence of the solution to equilibrium and the convergence rate.

• 出版日期2013
• 单位复旦大学; 华东师范大学