On the global well-posedness for the 2D incompressible Keller-Segel-Navier-Stokes equations

被引：3
|
作者：
Zhang, Qian [1 ]
Zhang, Yehua [1 ]
机构：
[1] Hebei Univ, Sch Math & Informat Sci, Hebei Key Lab Machine Learning & Computat Intelli, Baoding 071002, Peoples R China
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2019年 / 99卷 / 11期
基金：
中国国家自然科学基金;
关键词：
global well-posedness; Keller-Segel equations; Navier-Stokes equations; CHEMOTAXIS SYSTEM; BLOW-UP; SPERM-ATTRACTANT; CHEMICAL-ASPECTS; WEAK SOLUTIONS; MODEL; EXISTENCE; MASS; STABILIZATION; AGGREGATION;
D O I：
10.1002/zamm.201900024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Keller-Segel-Navier-Stokes system {rho t+u center dot del rho=Delta rho- del center dot(rho del c)-rho 2, c(t)+u center dot del c=Delta c-c+rho, u(t)+u center dot del u+ del P=Delta u-rho del phi, del center dot u=0, is considered in R2. It is proved that we obtain the existence and uniqueness of weak solutions for the two dimensional incompressible Keller-Segel-Navier-Stokes equations for a large class of initial data by using Fourier localization technique.
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页数：20
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