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Chemotaxis-Growth系统的整体吸引子 被引量：2

Global Attractor of Chemotaxis-Growth System
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摘要 研究了具有Dirichlet边界条件的Chemotaxis-Growth系统解的长时间行为.证明了Chemotaxis-Growth系统的解在L2(Ω)×L2(Ω)和H01(Ω)×H01(Ω)上的整体有界性,得到系统在L2(Ω)×L2(Ω)中整体吸引子的存在性. In this paper,the long-time behaviour of Chemotaxis-Growth system with Dirichlet＇s condition is considered.It is proved that the solution of the system is globally bounded in L2（Ω） × L2（Ω） and H01（Ω） × H01（Ω）.The existence of global attractor in L2（Ω） × L2（Ω） of the system is obtained.
作者 罗宏
机构地区 四川师范大学数学与软件科学学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第5期577-580,共4页 Journal of Sichuan Normal University（Natural Science）
基金 国家自然科学基金(10801102) 四川省教育厅自然科学青年基金(2008ZB023)资助项目
关键词 Chemotaxis-Growth系统 吸收集 整体吸引子 Chemotaxis-Growth system absorbing set global attractor
分类号 O175.26 [理学—基础数学]
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参考文献18

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二级参考文献27

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共引文献33

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四川师范大学学报（自然科学版）
2010年 第5期

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