Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant

doi:10.1016/j.jde.2018.01.0040022

	Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant
	Jiang, Jie 2; Wu, Hao 1,3; Zheng, Songmu 1
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2018-04-15
卷号	264 期号:8 页码:5432-5464
关键词	Chemotaxis Classical Solutions Blow-up Criterion Blow-up Rate
ISSN号	0022-0396
DOI	10.1016/j.jde.2018.01.0040022
文献子类	Article
英文摘要	We investigate blow-up properties for the initial-boundary value problem of a Keller-Segel model with consumption of chemoattractant when the spatial dimension is three. Through a kinetic reformulation of the Keller-Segel system, we first derive some higher-order estimates and obtain certain blow-up criteria for the local classical solutions. These blow-up criteria generalize the results in [4,5] from the whole space R-3 to the case of bounded smooth domain Omega subset of R-3. Lower global blow-up estimate on parallel to n parallel to (infinity)(L)((Omega)) is also obtained based on our higher-order estimates. Moreover, we prove local non-degeneracy for blow-up points. (C) 2018 Elsevier Inc. All rights reserved.
WOS关键词	NAVIER-STOKES SYSTEM ; CHEMOTAXIS-FLUID EQUATIONS ; GLOBAL EXISTENCE ; NONLINEAR DIFFUSION ; LOGISTIC SOURCE ; EVENTUAL SMOOTHNESS ; ASYMPTOTIC-BEHAVIOR ; BOUNDEDNESS ; STABILIZATION ; SENSITIVITY
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000426146600017
资助机构	National Natural Science Foundation of China (NNSFC)(11201468) ; National Natural Science Foundation of China (NNSFC)(11201468) ; NNSFC(11631011 ; NNSFC(11631011 ; Shanghai Center for Mathematical Sciences at Fudan University ; Shanghai Center for Mathematical Sciences at Fudan University ; 11131005) ; 11131005) ; National Natural Science Foundation of China (NNSFC)(11201468) ; National Natural Science Foundation of China (NNSFC)(11201468) ; NNSFC(11631011 ; NNSFC(11631011 ; Shanghai Center for Mathematical Sciences at Fudan University ; Shanghai Center for Mathematical Sciences at Fudan University ; 11131005) ; 11131005) ; National Natural Science Foundation of China (NNSFC)(11201468) ; National Natural Science Foundation of China (NNSFC)(11201468) ; NNSFC(11631011 ; NNSFC(11631011 ; Shanghai Center for Mathematical Sciences at Fudan University ; Shanghai Center for Mathematical Sciences at Fudan University ; 11131005) ; 11131005) ; National Natural Science Foundation of China (NNSFC)(11201468) ; National Natural Science Foundation of China (NNSFC)(11201468) ; NNSFC(11631011 ; NNSFC(11631011 ; Shanghai Center for Mathematical Sciences at Fudan University ; Shanghai Center for Mathematical Sciences at Fudan University ; 11131005) ; 11131005)
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/12862]
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	1.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China 3.Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Jie,Wu, Hao,Zheng, Songmu. Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2018,264(8):5432-5464.
APA	Jiang, Jie,Wu, Hao,&Zheng, Songmu.(2018).Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant.JOURNAL OF DIFFERENTIAL EQUATIONS,264(8),5432-5464.
MLA	Jiang, Jie,et al."Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant".JOURNAL OF DIFFERENTIAL EQUATIONS 264.8(2018):5432-5464.