Global existence of weak solutions for the 3D chemotaxis-Navier-Stokes equations

被引：15

作者：

He, Haibin ^{[1
]}

Zhang, Qian ^{[1
]}

机构：

[1] Hebei Univ, Sch Math & Informat Sci, Baoding 071002, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2017年 / 35卷

基金：

中国国家自然科学基金;

关键词：

Global existence; Weak solutions; Chemotaxis; Navier-Stokes; Zygmund spaces; KELLER-SEGEL SYSTEM; NONLINEAR DIFFUSION; FLUID MODEL; LOGISTIC SOURCE; WELL-POSEDNESS; BLOW-UP; BOUNDEDNESS;

D O I：

10.1016/j.nonrwa.2016.11.006

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 for the three dimensional chemotaxis-Navier-Stokes equations. By exploring the new a priori estimates, we prove the global existence of weak solutions for the 3D chemotaxis-Navier Stokes equations. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：336 / 349

页数：14

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