摘要
本文讨论了抛物-双曲和抛物-常微两个Chemotaxis模型初边值问题解的性质.利用形式级数展开的方法,得到全局解在微小扰动下,导致解在有限时间内爆破,并对爆破时间进行了估计.因此说明了这种模型空间齐性解的不稳定性.
In this paper, we study two systems modelling chemotaxis, with initial and boundary value condition. By making use of formal series expansion, we prove that for their spatially homogeneous global solutions, a slight perturbation of initial values would lead to blow-up in finite time. We conclude that global solutions for these two models are unstable.
出处
《数学杂志》
CSCD
北大核心
2005年第6期625-630,共6页
Journal of Mathematics
基金
国家科技部973核心数学项目(10025107)
