Global existence of weak solutions for the 3D incompressible Keller-Segel-Navier-Stokes equations with partial diffusion

被引：0

作者：

Zhao, Jijie ^{[1
]}

Chen, Xiaoyu ^{[1
]}

Zhang, Qian ^{[1
]}

机构：

[1] Hebei Univ, Coll Math & Informat Sci, Hebei Key Lab Machine Learning & Computat Intellig, Baoding, Peoples R China

来源：

APPLICABLE ANALYSIS | 2024年 / 103卷 / 01期

关键词：

Keller-Segel equations; Navier-Stokes equations; global existence; weak solutions; WELL-POSEDNESS; SPERM-ATTRACTANT; CHEMICAL-ASPECTS; BLOW-UP; CHEMOTAXIS; MODEL; MASS; BOUNDEDNESS; CORALS; SYSTEM;

D O I：

10.1080/00036811.2023.2187382

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Cauchy problem of the 3D incompressible Keller-Segel-Navier-Stokes equations with partial diffusion, namely we remove the diffusion delta rho. Using the damping effect of the growth term -rho(3) and the geometry of axisymmetric flow without swirl, we prove the global existence of weak solutions for the system.

引用

页码：353 / 376

页数：24

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