Global stability of homogeneous steady states inscaling-invariant spaces for a Keller-Segel-Navier-Stokes system

doi:10.1016/j.jde.2019.01.0220022

	Global stability of homogeneous steady states inscaling-invariant spaces for a Keller-Segel-Navier-Stokes system
	Jiang, Jie
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2019-07-05
卷号	267 期号:2 页码:659-692
关键词	Chemotaxis Keller-Segel model Navier-Stokes equations Classical solutions Global stability
ISSN号	0022-0396
DOI	10.1016/j.jde.2019.01.0220022
英文摘要	In this paper, we study the global stability of homogeneous equilibria in Keller-Segel-Navier-Stokes equations in scaling-invariant spaces. We prove that for any given 0 < M < 1 + mu(1) with mu(1) being the first eigenvalue of Neumann Laplacian, the initial-boundary value problem of the Keller-Segel-Navier-Stokes system has a unique globally bounded classical solution provided that the initial datum is chosen sufficiently close to (M, M, 0) in the norm of L-d/2(Omega) x (W)over dot(1,d)(Omega) x L-d(Omega) and satisfies a natural average mass condition. Our proof is based on the perturbation theory of semigroups and certain delicate exponential decay estimates for the linearized semigroup. Our result suggests a new observation that nontrivial classical solution for Keller-Segel-Navier-Stokes equation can be obtained globally starting from suitable initial data with arbitrarily large total mass provided that volume of the bounded domain is large, correspondingly. (c) 2019 Elsevier Inc. All rights reserved.
WOS关键词	BLOW-UP ; EXISTENCE ; MODEL ; WEAK
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000465089600001
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/13746]
专题	中国科学院武汉物理与数学研究所
通讯作者	Jiang, Jie
作者单位	Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Jie. Global stability of homogeneous steady states inscaling-invariant spaces for a Keller-Segel-Navier-Stokes system[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2019,267(2):659-692.
APA	Jiang, Jie.(2019).Global stability of homogeneous steady states inscaling-invariant spaces for a Keller-Segel-Navier-Stokes system.JOURNAL OF DIFFERENTIAL EQUATIONS,267(2),659-692.
MLA	Jiang, Jie."Global stability of homogeneous steady states inscaling-invariant spaces for a Keller-Segel-Navier-Stokes system".JOURNAL OF DIFFERENTIAL EQUATIONS 267.2(2019):659-692.