摘要
本文考虑一个两物种的抛物-椭圆排斥趋化模型.首先,用不动点原理证明了模型解的局部存在性.其次,用Lp估计技巧和Moser迭代证明了整体解存在且一致有界.最后通过构造Lyapunov泛函证明了模型解在L∞(Ω)空间中指数收敛到非零常数稳定解.
A parabolic-elliptic repulsion chemotaxis model with two species was considered in this paper . First ,based on a fixed point argument ,it was proved that the model had a local solution .Then ,it was proved that the model had a globally-in-time bounded solution via the Lp-estimate technique and Moser′sisiteration method .Finally ,by the Lyapunov functional approach ,it was shown that the solution conver-ges to a non-zero stationary solution exponentially in L∞ （Ω） as t→ ＋ ∞ .
出处
《纺织高校基础科学学报》
CAS
2013年第3期344-350,369,共8页
Basic Sciences Journal of Textile Universities
关键词
趋化性
有界性
稳定解
收敛性
chemotaxis
boundedness
stationary solutions
convergence
