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

被引：10

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

页码：576 / 612

页数：37

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