期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 183, 期 -, 页码 1-28出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2018.12.018
关键词
Euler; Free boundary; Two-phase; Rayleigh-Taylor instability; Surface tension
资金
- National Natural Science Foundation of China [11771358]
We consider the free boundary problem for two layers of immiscible, inviscid, incompressible fluid in a uniform gravitational field. The surface tension at the free interface between the two fluids is included so as to exclude the Kelvin-Helmholtz instability, while the upper fluid is assumed to be heavier than the lower fluid so that the fluids are susceptible to the Rayleigh-Taylor instability. We establish that the problem under consideration is nonlinearly unstable when the surface tension is below the critical value. (C) 2019 Elsevier Ltd. All rights reserved.
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