KMS Of Academy of mathematics and systems sciences, CAS
Instability of the abstract Rayleigh-Taylor problem and applications | |
Jiang, Fei1; Jiang, Song2; Zhan, Weicheng3 | |
2020-11-01 | |
发表期刊 | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES |
ISSN | 0218-2025 |
卷号 | 30期号:12页码:2299-2388 |
摘要 | Based on a bootstrap instability method, we prove the existence of unstable strong solutions in the sense of L-1-norm to an abstract Rayleigh-Taylor (RT) problem arising from stratified viscous fluids in Lagrangian coordinates. In the proof we develop a method to modify the initial data of the linearized abstract RT problem by exploiting the existence theory of a unique solution to the stratified (steady) Stokes problem and an iterative technique, such that the obtained modified initial data satisfy the necessary compatibility conditions on boundary of the original (nonlinear) abstract RT problem. Applying an inverse transform of Lagrangian coordinates to the obtained unstable solutions and taking then proper values of the parameters, we can further obtain unstable solutions of the RT problem in viscoelastic, magnetohydrodynamics (MHD) flows with zero resistivity and pure viscous flows (with/without interface intension) in Eulerian coordinates. |
关键词 | Rayleigh-Taylor instability stratified viscous fluids incompressible fluids magnetohydrodynamic fluids viscoelastic fluids |
DOI | 10.1142/S021820252050044X |
收录类别 | SCI |
语种 | 英语 |
资助项目 | NSFC[11671086] ; NSFC[12022102] ; NSF of Fujian Province of China[2020J02001] ; research of Song Jiang by NSFC[11631008] ; Sino-German Science Center[GZ 1465] ; ISF-NSFC joint research program[11761141008] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000599904200002 |
出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/57856 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Jiang, Fei |
作者单位 | 1.Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350105, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Jiang, Fei,Jiang, Song,Zhan, Weicheng. Instability of the abstract Rayleigh-Taylor problem and applications[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2020,30(12):2299-2388. |
APA | Jiang, Fei,Jiang, Song,&Zhan, Weicheng.(2020).Instability of the abstract Rayleigh-Taylor problem and applications.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,30(12),2299-2388. |
MLA | Jiang, Fei,et al."Instability of the abstract Rayleigh-Taylor problem and applications".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 30.12(2020):2299-2388. |
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