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.
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页数：21
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