On the instability of the possible blow-up solutions to 2D Boussinesq system

doi:10.1016/j.jde.2021.10.051

	On the instability of the possible blow-up solutions to 2D Boussinesq system
	Shao, Ruijie 2; Zhang, Ping 1,2,3
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2022-01-05
卷号	306 页码:547-568
关键词	2D Boussinesq system WKB method Instability Semi-classical pseudo-differential operator
ISSN号	0022-0396
DOI	10.1016/j.jde.2021.10.051
英文摘要	Motivated by [10,11], we first derive the bicharacteristic-amplitude equations related to the WKB approximation of 2D Boussinesq system. Then we apply WKB method to prove the instability to the possible blow-up solutions of this system as time approaching to the blow-up time. In particular, this result explains the reason why the prediction of finite time singularities to 2D Boussinesq system via direct numerical experiments is so difficult. (c) 2021 Elsevier Inc. All rights reserved.
资助项目	NSF of China[11731007] ; NSF of China[11688101] ; NSF of China[12031006] ; National Center for Mathematics and Interdisciplinary Sciences ; K. C. Wong Education Foundation
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000719604000004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59625]
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Shao, Ruijie,Zhang, Ping. On the instability of the possible blow-up solutions to 2D Boussinesq system[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2022,306:547-568.
APA	Shao, Ruijie,&Zhang, Ping.(2022).On the instability of the possible blow-up solutions to 2D Boussinesq system.JOURNAL OF DIFFERENTIAL EQUATIONS,306,547-568.
MLA	Shao, Ruijie,et al."On the instability of the possible blow-up solutions to 2D Boussinesq system".JOURNAL OF DIFFERENTIAL EQUATIONS 306(2022):547-568.