Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system

doi:10.1016/j.aim.2020.107007

CSpace

	Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system
	Zhang, Ping 1,2,3
	2020-03-25
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	363 页码:43
摘要	In this paper, we shall prove the global existence of weak solutions to 3D inhomogeneous incompressible Navier-Stokes system (INS) with initial density in the bounded function space and having a positive lower bound and with initial velocity being sufficiently small in the critical Besov space, <(B)over dot>(1/2)(2,1). This result corresponds to the Fujita-Kato solutions of the classical Navier-Stokes system. The same idea can be used to prove the global existence of weak solutions in the critical functional framework to (INS) with one component of the initial velocity being large and can also be applied to provide a lower bound for the lifespan of smooth enough solutions of (INS). (C) 2020 Elsevier Inc. All rights reserved.
关键词	Inhomogeneous Navier-Stokes system Besov space Weak solutions
DOI	10.1016/j.aim.2020.107007
收录类别	SCI
语种	英语
资助项目	NSF of China[11371347] ; NSF of China[11688101] ; National Center for Mathematics and Interdisciplinary Sciences of The Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000514475900019
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50829
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Ping
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Ping. Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system[J]. ADVANCES IN MATHEMATICS,2020,363:43.
APA	Zhang, Ping.(2020).Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system.ADVANCES IN MATHEMATICS,363,43.
MLA	Zhang, Ping."Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system".ADVANCES IN MATHEMATICS 363(2020):43.