| 抛物-椭圆吸引排斥趋化模型的定性分析 |
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| 引用本文： | 陈道会. 抛物-椭圆吸引排斥趋化模型的定性分析[J]. 纺织高校基础科学学报, 2013, 0(4): 474-480 |
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| 作者姓名： | 陈道会 |
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| 作者单位： | 东华大学应用数学系,上海201620 |
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| 摘 要： | 考虑一个抛物一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,L^p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｜｜L2（Ω）≤xaCNG时,该模型存在惟一的整体解．
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| 关 键 词： | 趋化性 吸引一排斥 熵不等式 整体存在性 |
Qualitative analysis of a parabolic-elliptic attraction-repulsion chemotaxis model |
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| CHEN Dao-hui. Qualitative analysis of a parabolic-elliptic attraction-repulsion chemotaxis model[J]. Basic Sciences Journal of Textile Universities, 2013, 0(4): 474-480 |
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| Authors: | CHEN Dao-hui |
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| Affiliation: | CHEN Dao-hui (Department of Applied Mathematics, Donghua University, Shanghai 201620, China) |
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| Abstract: | 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. |
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| Keywords: | chemotaxis global existence attraction-repulsion entropy inequality |
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