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

doi:10.1016/j.jde.2021.10.051

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	On the instability of the possible blow-up solutions to 2D Boussinesq system
	Shao, Ruijie 1; Zhang, Ping 1,2,3
	2022-01-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	306 页码:547-568
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.
关键词	2D Boussinesq system WKB method Instability Semi-classical pseudo-differential operator
DOI	10.1016/j.jde.2021.10.051
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000719604000004
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/59626
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	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.