KMS Of Academy of mathematics and systems sciences, CAS
| On the instability of the possible blow-up solutions to 2D Boussinesq system | |
| Shao, Ruijie1; Zhang, Ping1,2,3 | |
| 2022-01-05 | |
| Source Publication | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| ISSN | 0022-0396 |
| Volume | 306Pages:547-568 |
| Abstract | 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. |
| Keyword | 2D Boussinesq system WKB method Instability Semi-classical pseudo-differential operator |
| DOI | 10.1016/j.jde.2021.10.051 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000719604000004 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59626 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhang, Ping |
| Affiliation | 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 |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment