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

文献类型：期刊论文

作者Shao, Ruijie1; Zhang, Ping1,2,3
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期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
DOI10.1016/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
WOS记录号WOS:000719604000004
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
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.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.

入库方式： OAI收割

来源：数学与系统科学研究院

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