中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
Instability of the abstract Rayleigh-Taylor problem and applications

文献类型：期刊论文

作者Jiang, Fei1; Jiang, Song2; Zhan, Weicheng3
刊名MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
出版日期2020-11-01
卷号30期号:12页码:2299-2388
关键词Rayleigh-Taylor instability stratified viscous fluids incompressible fluids magnetohydrodynamic fluids viscoelastic fluids
ISSN号0218-2025
DOI10.1142/S021820252050044X
英文摘要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.
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
语种英语
WOS记录号WOS:000599904200002
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57855]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。