Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source

被引：12
作者：
Zhang, Qian [1 ]
Zheng, Xiaoxin [2 ,3 ]
机构：
[1] Hebei Univ, Sch Math & Informat Sci, Hebei Key Lab Machine Learning & Computat Intelli, Baoding 071002, Peoples R China
[2] Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China
[3] Minist Educ, Key Lab Math Informat Behav Semant, Beijing 100191, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 274卷
基金：
中国国家自然科学基金;
关键词：
Global existence; Axisymmetric solution; Chemotaxis; Navier-Stokes equations; NONLINEAR DIFFUSION; WEAK SOLUTIONS; FLUID MODEL; BLOW-UP; SYSTEM; EXISTENCE; BOUNDEDNESS;
D O I：
10.1016/j.jde.2020.10.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate Cauchy problem of the 3D incompressible chemotaxis-Navier-Stokes equations with logistic source. By exploring some new a priori estimates and making good use of the geometry structure of axisymmetric flow without swirl, we prove the global-in-time well-posedness for the axisymmetric chemotaxis-Navier-Stokes equations. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页码：576 / 612
页数：37
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