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

共 29 条

[1] Blowup of solutions to generalized Keller-Segel model [J].

Biler, Piotr ;

Karch, Grzegorz .

JOURNAL OF EVOLUTION EQUATIONS, 2010, 10 (02) :247-262

[2]

Blanchet A., 2006, Electron. Differential Equations, V2006, P1

[3]

BONY JM, 1981, ANN SCI ECOLE NORM S, V14, P209

[4]

Calvez V, 2008, COMMUN MATH SCI, V6, P417

[5] EXISTENCE OF SMOOTH SOLUTIONS TO COUPLED CHEMOTAXIS-FLUID EQUATIONS [J].

Chae, Myeongju ;

Kang, Kyungkeun ;

Lee, Jihoon .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (06) :2271-2297

[6] Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach [J].

Chertock, A. ;

Fellner, K. ;

Kurganov, A. ;

Lorz, A. ;

Markowich, P. A. .

JOURNAL OF FLUID MECHANICS, 2012, 694 :155-190

[7] GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A KELLER-SEGEL-FLUID MODEL WITH NONLINEAR DIFFUSION [J].

Chung, Yun-Sung ;

Kang, Kyungkeun ;

Kim, Jaewoo .

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (03) :635-654

[8] CHEMOTAXIS-FLUID COUPLED MODEL FOR SWIMMING BACTERIA WITH NONLINEAR DIFFUSION: GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR [J].

Di Francesco, Marco ;

Lorz, Alexander ;

Markowich, Peter A. .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 28 (04) :1437-1453

[9] Global Solutions to the Coupled Chemotaxis-Fluid Equations [J].

Duan, Renjun ;

Lorz, Alexander ;

Markowich, Peter .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2010, 35 (09) :1635-1673

[10] Boundedness vs. blow-up in a chemotaxis system [J].

Horstmann, D ;

Winkler, M .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 215 (01) :52-107

← 1 2 3 →