| 具有多孔介质细胞扩散和矩阵敏感性的二维趋化Navier - Stokes系统的全局有界性 |
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| 引用本文： | 何肖肖.具有多孔介质细胞扩散和矩阵敏感性的二维趋化Navier - Stokes系统的全局有界性[J].四川大学学报(自然科学版),2023,60(5):051003-69. |
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| 作者姓名： | 何肖肖 |
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| 作者单位： | 电子科技大学 |
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| 基金项目： | 四川省应用基础研究计划项目（2020YJ0264） |
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| 摘 要： | 本文研究了具有多孔介质细胞扩散和矩阵敏感性的趋化-流体耦合模型的初边值问题弱解的全局有界性.在二维有界区域上，本文首先构造了问题对应的正则化系统，建立系统经典解的全局存在性，然后借助能量估计建立了解的有界性，最后对正则化系统取极限得到了原问题弱解的整体存在性.所得结果推广了Tao和Winkler的相应结果.
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| 关 键 词： | 趋化Navier-Stokes系统 多孔介质 矩阵敏感度 全局有界 |
| 收稿时间： | 2022/10/9 0:00:00 |
| 修稿时间： | 2022/12/7 0:00:00 |
Global boundedness of a 2D chemotaxis-Navier-Stokes system with porous medium cell diffusion and matrix sensitivity |
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| HE Xiao-Xiao.Global boundedness of a 2D chemotaxis-Navier-Stokes system with porous medium cell diffusion and matrix sensitivity[J].Journal of Sichuan University (Natural Science Edition),2023,60(5):051003-69. |
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| Authors: | HE Xiao-Xiao |
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| Affiliation: | School of Mathematical Sciences, UESTC |
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| Abstract: | In this paper, the global boundness of weak solutions for the initial-boundary vlue problem of a chemotaxis-Navier-Stokes fluid coupling model with porous medium cell diffusion and matrix sensitivity is considered. Firstly, a regularized system is constructed for the problem, and the global classical solvability of the reguarlized system is established. Then the boundness of the solutions is obtained with the help of some energy estimates. Finally, the global existence of weak solutions of the original problem is obtained by taking limit in the regularized system. The obtained results generalize the corresponding results of Tao and Winkler. |
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| Keywords: | Chemotaxis-Navier-Stokes system Porous medium cell diffusion Matrix sensitivity Global boundedness |
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