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| SOME MATHEMATICAL MODELS AND MATHEMATICAL ANALYSIS ABOUT RAYLEIGH-TAYLOR INSTABILITY |
| Boling Guo,Binqiang Xie |
| (Institute of Applied Physics and Computational Math., China Academy of Engineering Physics, Beijing 100088, PR China;South China Research Center for Applied Math. and Interdisciplinary Studies, Guangzhou 510631, Guangdong, PR China) |
| DOI： |
| Abstract: |
| The instability of the interface between two different densities of fluid under the action of gravity or inertial force, as early as 1950, was clearly pointed out by G.L. Taylor, and is often named after him, actually earlier than him, L. Rayleigh in 1900 and S.H. Lamb in 1932 also talked about this problem in some sense, people sometimes call Rayleigh-Taylor or Rayleigh-Lamb-Taylor instability. This interfacial instability phenomenon can be found not only in astrophysics, but also in laster fusion and high-speed collision. It is very important even for hydraulic machinery and various engines. The linear development stage of interface instability is relatively clear. However, there are still many problems in nonlinear development that need to be recognized. The relevant research has very important practical and theoretical value. |
| Key words: mathematical models; mathematical analysis; Rayleigh-Taylor instability |