Blowup and global existence of a free boundary problem with weak spatial source

doi:10.1080/00036811.2019.1629424

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Blowup and global existence of a free boundary problem with weak spatial source
	Wang, Jia-Bing 1; Wang, Jie 2,3; Cao, Jia-Feng 2,3
刊名	APPLICABLE ANALYSIS
	2019-06-15
卷号	100 期号:5 页码:964-974
关键词	Dinghua Xu Nonlinear reaction-diffusion equation free boundary blowup global solution sharp threshold trichotomy
ISSN号	0003-6811
DOI	10.1080/00036811.2019.1629424
英文摘要	This paper deals with the blowup and global existence of the solutions for a nonlinear reaction-diffusion equation with free boundaries and very weak spatial sources. For such a problem, we first derive some sufficient conditions to finite time blowup of the solution. Secondly, the existence of global vanishing solutions is proven for a family of sufficiently small initial values. Finally, a sharp threshold trichotomy result is obtained in term of the size of the initial value, by which the blowup solution, the global vanishing solution, and, in particular, the global transition solution are distinguished.
资助项目	Fundamental Research Funds for the Central Universities, China University of Geosciences[162301182740]
WOS研究方向	Mathematics
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000473457400001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/31797]
专题	理学院材料科学与工程学院省部共建有色金属先进加工与再利用国家重点实验室
通讯作者	Wang, Jie
作者单位	1.China Univ Geosci, Sch Math & Phys, Wuhan, Hubei, Peoples R China 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou, Gansu, Peoples R China 3.Lanzhou Univ Technol, State Key Lab Adv Proc & Recycling Nonferrous Met, Lanzhou, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Wang, Jia-Bing,Wang, Jie,Cao, Jia-Feng. Blowup and global existence of a free boundary problem with weak spatial source[J]. APPLICABLE ANALYSIS,2019,100(5):964-974.
APA	Wang, Jia-Bing,Wang, Jie,&Cao, Jia-Feng.(2019).Blowup and global existence of a free boundary problem with weak spatial source.APPLICABLE ANALYSIS,100(5),964-974.
MLA	Wang, Jia-Bing,et al."Blowup and global existence of a free boundary problem with weak spatial source".APPLICABLE ANALYSIS 100.5(2019):964-974.