A regularity condition and temporal asymptotics for chemotaxis-fluid equations

被引：15

作者：

Chae, Myeongju ^{[1
]}

Kang, Kyungkeun ^{[2
]}

Lee, Jihoon ^{[3
]}

Lee, Ki-Ahm ^{[4
,5
]}

机构：

[1] Hankyong Natl Univ, Dept Appl Math, Ansung, South Korea

[2] Yonsei Univ, Dept Math, Seoul, South Korea

[3] Chung Ang Univ, Dept Math, Seoul, South Korea

[4] Seoul Natl Univ, Sch Math Sci, Seoul, South Korea

[5] KIAS, Ctr Math Challenges, Seoul, South Korea

来源：

NONLINEARITY | 2018年 / 31卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Chemotaxis-Navier-Stokes; global well-posedness; temporal decay; GLOBAL EXISTENCE; MODEL; SYSTEM;

D O I：

10.1088/1361-6544/aa92ec

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider two dimensional chemotaxis equations coupled to the Navier-Stokes equations. We present a new localized regularity criterion that is localized in a neighborhood at each point. Secondly, we establish temporal decays of the regular solutions under the assumption that the initial mass of biological cell density is sufficiently small. Both results are improvements of previously known results given in Chae et al (2013 Discrete Continuous Dyn. Syst. A 33 2271-97) and Chae et al (2014 Commun. PDE 39 1205-35)

引用

页码：351 / 387

页数：37

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