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三维趋化模型初边值问题的全局分析

Global Analysis of Solutions to Initial Boundary Value Problems for the 3D Chemotaxis Model
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摘要 建立了三维趋化模型初边值问题强解的全局存在性和大时间行为.具体地说,得到了全局H2强解的存在性和指数稳定性.证明方法是基于精细的能量估计. This paper establishes global existence and asymptotic behavior of strong solutions to the initial boundary value problem for the 3D chemotaxis model. More precisely, existence and exponential stability of global H2 strong solutions is obtained. The proof is based on delicate energy estimates.
出处 《湖南理工学院学报(自然科学版)》 CAS 2015年第2期10-12,共3页 Journal of Hunan Institute of Science and Technology(Natural Sciences)
基金 国家自然科学基金项目(11301172) 湖南省教育厅优秀青年项目(14B077) 湖南省教育厅一般项目(14C0536)
关键词 趋化模型 强解 存在性 指数稳定性 chemotaxis model strong solution existence exponential stability
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参考文献14

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