Sufficient conditions of Rayleigh-Taylor stability and instability in equatorial ionosphere

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• 作者：Sicheng Wang ; Sixun Huang
• 关键词：Rayleigh ; Taylor (R ; T) instability ; sufficient condition ; equatorial ionosphere ; variational approach ; O361.5 ; P352 ; O29 ; 76E25 ; 65N25
• 刊名：Applied Mathematics and Mechanics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：37
• 期：2
• 页码：181-192
• 全文大小：478 KB
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• 作者单位：Sicheng Wang (1)
  Sixun Huang (1) (2)
  
  1. Institute of Meteorology and Oceanography, PLA University of Science and Technology, Nanjing, 211101, China
  2. State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou, 310012, China
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mechanics
  Mathematical Modeling and IndustrialMathematics
  Chinese Library of Science
  
• 出版者：Shanghai University, in co-publication with Springer
• ISSN：1573-2754

文摘

Rayleigh-Taylor (R-T) instability is known as the fundamental mechanism of equatorial plasma bubbles (EPBs). However, the sufficient conditions of R-T instability and stability have not yet been derived. In the present paper, the sufficient conditions of R-T stability and instability are preliminarily derived. Linear equations for small perturbation are first obtained from the electron/ion continuity equations, momentum equations, and the current continuity equation in the equatorial ionosphere. The linear equations can be casted as an eigenvalue equation using a normal mode method. The eigenvalue equation is a variable coefficient linear equation that can be solved using a variational approach. With this approach, the sufficient conditions can be obtained as follows: if the minimum systematic eigenvalue is greater than one, the ionosphere is R-T unstable; while if the maximum systematic eigenvalue is less than one, the ionosphere is R-T stable. An approximate numerical method for obtaining the systematic eigenvalues is introduced, and the R-T stable/unstable areas are calculated. Numerical experiments are designed to validate the sufficient conditions. The results agree with the derived sufficient conditions. Keywords Rayleigh-Taylor (R-T) instability sufficient condition equatorial ionosphere variational approach