三维Keller-Segel-Navier-Stokes方程弱解的整体存在性

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三维Keller-Segel-Navier-Stokes方程弱解的整体存在性陆生琪¹, 陈淼超², 刘其林³1 三江学院数理部南京 210012;
2 巢湖学院应用数学学院合肥 238000;
3 东南大学数学学院南京 211189 Global Existence of Weak Solutions to a 3D Keller-Segel-Navier-Stokes System Sheng Qi LU¹, Miao Chao CHEN², Qi Lin LIU³1 Department of Mathematics and Physics, Sanjiang University, Nanjing 210012, P. R. China;
2 School of Mathematics and Statistics, Chaohu University, Hefei 238000, P. R. China;
3 School of Mathematics, Southeast University, Nanjing 211189, P. R. China

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摘要本文证明具有logistic源的一个3维Keller-Segel-Navier-Stokes方程弱解的整体存在性，并研究了弱解的长时间行为.

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收稿日期: 2019-07-01

MR (2010):

O175.29

基金资助:安徽省重点大学自然科学基金（KJ2017A453，KJ2017A454）；安徽省大学教学研究基金（2016jyxm0693）；巢湖学院自然科学基金（XLY-201503）

作者简介: 陆生琪,E-mail:001336@sju.edu.cn;陈淼超,E-mail:chenmiaochao@chu.edu.cn;刘其林,E-mail:liuqlseu@126.com

引用本文:

陆生琪, 陈淼超, 刘其林. 三维Keller-Segel-Navier-Stokes方程弱解的整体存在性[J]. 数学学报, 2020, 63(5): 495-504. Sheng Qi LU, Miao Chao CHEN, Qi Lin LIU. Global Existence of Weak Solutions to a 3D Keller-Segel-Navier-Stokes System. Acta Mathematica Sinica, Chinese Series, 2020, 63(5): 495-504.

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