Existence and asymptotic stability of mild solution to fractional Keller-Segel-Navier-Stokes system

被引：0
|
作者：
Jiang, Ziwen [1 ]
Wang, Lizhen [1 ,2 ]
机构：
[1] Northwest Univ, Ctr Nonlinear Studies, Sch Math, Xian, Peoples R China
[2] Northwest Univ, Ctr Nonlinear Studies, Sch Math, Xian 710127, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 12期
基金：
中国国家自然科学基金;
关键词：
asymptotic stability; fractional Keller-Segel-Navier-Stokes model; mild solution; well-posedness; GLOBAL EXISTENCE; BLOW-UP; DIFFUSION; MODEL; BEHAVIOR;
D O I：
10.1002/mma.10096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the Cauchy problem for time-space fractional Keller-Segel-Navier-Stokes model in Double-struck capital Rd(d >= 2)$$ {\mathrm{\mathbb{R}}}<^>d\kern0.1em \left(d\ge 2\right) $$, which can describe the memory effect and anomalous diffusion of the considered system. The local and global existence and uniqueness in weak Lp$$ {L}<^>p $$ space are obtained by means of abstract fixed point theorem. Moreover, we explore the asymptotic stability of solutions as time goes to infinity.
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页码：9814 / 9833
页数：20
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