| 趋化NS系统弱解的全局存在性（英文） |
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| 引用本文： | 余孟玲,刘,梅,罗,宏.趋化NS系统弱解的全局存在性（英文）[J].应用数学,2019,32(1):183-194. |
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| 作者姓名： | 余孟玲 刘 梅 罗 宏 |
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| 作者单位： | 四川师范大学数学与软件科学学院 |
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| 基金项目： | Sponsored by the National Natural Science Foundation of China(11701399) |
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| 摘 要： | 本文主要研究趋化NS系统在2维的有界光滑领域Ω?R^2中.本文利用Galerkin方法证明了不可压缩的NS系统弱解的存在性.其次,利用一系列检验程序,证明了带有初边值条件的趋化NS系统弱解的局部存在性,进一步得到该系统弱解的全局存在性.
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| 关 键 词： | 趋化NS系统 弱解 全局存在性 |
| 收稿时间： | 2018/3/28 0:00:00 |
The Global Existence of Weak Solution to Coupled Chemotaxis NS System |
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| YU Mengling,LIU Mei,LUO Hong.The Global Existence of Weak Solution to Coupled Chemotaxis NS System[J].Mathematica Applicata,2019,32(1):183-194. |
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| Authors: | YU Mengling LIU Mei LUO Hong |
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| Institution: | (College of Mathematics and Software Science,Sichuan Normal University, Chengdu 610066,China) |
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| Abstract: | In this paper, the chemotaxis NS system is considered in two-dimensional bounded domain Ω∈ R^2 with smooth boundary. It proves the existence of weak solution of the incompressible NS system by using Galerkin method in two-dimensional. Moreover,it obtains that the system with given initial data and the corresponding initial-boundary value problem possesses a global weak solution by combining standard testing procedures with regularity estimate. |
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| Keywords: | Chemotaxis NS system Weak solution Global existence |
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