Instability of the abstract Rayleigh-Taylor problem and applications

doi:10.1142/S021820252050044X

	Instability of the abstract Rayleigh-Taylor problem and applications
	Jiang, Fei 1; Jiang, Song 2; Zhan, Weicheng 3
刊名	MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
	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
DOI	10.1142/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
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000599904200002
内容类型	期刊论文
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.