抛物-椭圆吸引排斥趋化模型的定性分析  

Qualitative analysis of a parabolic-elliptic attraction-repulsion chemotaxis model

作　　者：陈道会[1] 

机构地区：[1]东华大学应用数学系,上海201620

出　　处：《纺织高校基础科学学报》2013年第4期474-480,共7页Basic Sciences Journal of Textile Universities

摘　　要：考虑一个抛物-椭圆吸引排斥趋化模型.通过建立合适的熵不等式,利用不动点原理,Lp估计技巧,广义的Gagliardo-Nirenberg插值不等式和Moser迭代,证明了当细胞的初始质量满足条件‖u0‖L1(Ω)≤xαCNG时,该模型存在惟一的整体解.A parabolic-elliptic attraction-repulsion chemotaxis model is considered. By establishing appro- priate entropy inequality,based on a fixed point argument, LP-estimate technique,the generalized Gagli- ardo-Nirenberg inequality and Moser＇s iteration, it is proved that the model admits a unique global solu- tion provided the initial cell mass satisfies the condition that ｜｜U0｜｜L2（Ω）≤xaCNG.

关 键 词：趋化性 吸引-排斥 熵不等式 整体存在性 

分 类 号：O175.26[理学—数学]