Global Existence of Weak Solutions for the 2D Incompressible Keller-Segel-Navier-Stokes Equations with Partial Diffusion

被引：2
|
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 Intelli, Baoding 071002, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2022年 / 181卷 / 01期
关键词：
Keller-Segel equations; Navier-Stokes equations; Global existence; WELL-POSEDNESS; SPERM-ATTRACTANT; CHEMICAL-ASPECTS; BLOW-UP; CHEMOTAXIS; MODEL; MASS; BOUNDEDNESS; CORALS; SYSTEM;
D O I：
10.1007/s10440-022-00529-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the global existence of weak solutions for the incompressible Keller-Segel-Navier-Stokes equation with partial diffusion in R-2. For the lack of diffusion Delta rho, we explore the structure of the equations and construct a priori estimates. With the help of uniform boundedness, we obtain the desired results.
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页数：24
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