| 3维chemotaxis-fluid方程弱解的整体存在性 |
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| 引用本文： | 刘天花. 3维chemotaxis-fluid方程弱解的整体存在性[J]. 四川轻化工学院学报, 2012, 0(5): 97-100 |
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| 作者姓名： | 刘天花 |
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| 作者单位： | 电子科技大学数学科学学院,成都611731 |
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| 基金项目： | 教育部留学回国人员科研启动基金（2011） |
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| 摘 要： | 针对具有非线性3维扩散chemotaxis—fluid模型，在其初边值问题基础上，提出了在m〉7／6时该模型具有弱解整体存在性的论断。利用正则化问题的先验估计方法，给出了基于chemotaxis．fluid模型的5个引理并进行了证明，在此证明基础上，对所提论断进行了证明。
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| 关 键 词： | chemotaxis—fluid 整体存在性 有界性 |
Global Existence of Weak Solutions to 3D Chemotaxis-Fluid Model |
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| LIU Tian-hua. Global Existence of Weak Solutions to 3D Chemotaxis-Fluid Model[J]. Journal of Sichuan Institute of Light Industry and Chemical Technology, 2012, 0(5): 97-100 |
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| Authors: | LIU Tian-hua |
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| Affiliation: | LIU Tian-hua (School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 61173 !, China) |
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| Abstract: | Based on the nonlinear 3D diffusion chemotaxis-fluid model and the initial boundary value problems, the ex- istence judge of weak global solution was put forward when m 〉 7/6. Using the priori estimate method of regularization prob- lem, five lemma and their proofs of the chemotaxis-fluid model were given. On this basis, the proposed thesis is verified. |
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| Keywords: | chemotaxis-fluid global existence boundedness |
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