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.

引用

页数：20

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