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

被引：2

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.

引用

页码：9814 / 9833

页数：20

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