Global well-posedness for the 2D incompressible four-component chemotaxis-Navier-Stokes equations

被引：13

作者：

Zhang, Qian ^{[1
]}

Wang, Peiguang ^{[1
]}

机构：

[1] Hebei Univ, Sch Math & Informat Sci, Hebei Key Lab Machine Learning & Computat Intelli, Baoding 071002, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Chemotaxis equations; Navier-Stokes equations; Global well-posedness; BLOW-UP; SPERM-ATTRACTANT; CHEMICAL-ASPECTS; WEAK SOLUTIONS; SYSTEM; MODEL; EXISTENCE; MASS; STABILIZATION; AGGREGATION;

D O I：

10.1016/j.jde.2020.01.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The four-component chemotaxis-Navier-Stokes system {n(t) + u . Delta(n) - del. (n del c) - nm, c(t) + u . del c = Delta c - c + m, m(t) + u . del m = Delta m - nm, u(t) + (u . del)u + del P = Delta u + (n + m)del phi, del . u = 0, is considered in R-2. By using Fourier localization technique and the structure of equations, we obtain the existence and uniqueness of weak solutions for the above system for a large class of initial data. (C) 2020 The Authors. Published by Elsevier Inc.

引用

页码：1656 / 1692

页数：37

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