Global existence in critical Besov spaces for the coupled chemotaxis-fluid equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:465

Article

Zhao, Jihong¹ 

[1] Baoji Univ Arts & Sci, Sch Math & Informat Sci, Baoji 721013, Shaanxi, Peoples R China

关键词: Chernotaxis-fluid equations;    Keller-Segel system;    Navier-Stokes equations;    Global existence;    Critical Besov spaces;   

DOI  :  10.1016/j.jmaa.2018.05.041

来源: Elsevier

【 摘 要 】

In this paper, we are concerned with a system coupling the parabolic-parabolic Keller-Segel system to the viscous incompressible Navier-Stokes equations in spatial dimensions three, and prove the global existence of solutions with small initial data in critical Besov spaces with minimal regularity order by using the elementary paradifferential calculus and a special type of iteration scheme. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free