Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion

被引：14

作者：

Chung, Yun-Sung ^{[1
]}

Kang, Kyungkeun ^{[1
]}

机构：

[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 04期

关键词：

SEGEL-STOKES MODEL; WEAK SOLUTIONS; BOUNDEDNESS; DECAY;

D O I：

10.1063/1.4947107

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a coupled system consisting of the Navier-Stokes equations and a porous medium type of Keller-Segel system that model the motion of swimming bacteria living in fluid and consuming oxygen. We establish the global-in-time existence of weak solutions for the Cauchy problem of the system in dimension three. In addition, if the Stokes system, instead Navier-Stokes system, is considered for the fluid equation, we prove that bounded weak solutions exist globally in time. Published by AIP Publishing.

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页数：19

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