Well-posedness of Keller-Segel-Navier-Stokes equations with fractional diffusion in Besov spaces

被引：0

作者：

Jiang, Ziwen ^{[1
]}

Wang, Lizhen ^{[1
]}

机构：

[1] Northwest Univ, Ctr Nonlinear Studies, Sch Math, Xian 710127, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2024年 / 75卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Fractional Keller-Segel-Navier-Stokes system; Well-posedness; Homogeneous Besov spaces; Mild solution; GLOBAL EXISTENCE; CHEMOTAXIS; SYSTEM; LAPLACIAN; MODELS;

D O I：

10.1007/s00033-024-02268-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the Cauchy problem of Keller-Segel-Navier-Stokes system with fractional diffusion. Making use of Fourier localization technique and Littlewood-Paley theory, we establish the global well-posedness of mild solution for small initial data in mixed time-space Besov spaces. Furthermore, we obtain the well-posedness of mild solution in time-weighted Besov spaces by Banach fixed point theorem.

引用

页数：21

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