期刊
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
卷 37, 期 11, 页码 1967-2028出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/03605302.2012.699498
关键词
Free boundary problem; Navier-Stokes equations; Rayleigh-Taylor instability
资金
- National Natural Science Foundation of China [11201389]
- National Science Foundation of Fujian Province of China [2012J05011]
- National Science Foundation of China-NSAF [10976026]
- NSF
We consider the free boundary problem for two layers of immiscible, viscous, incompressible fluid in a uniform gravitational field, lying above a rigid bottom in a three-dimensional horizontally periodic setting. The effect of surface tension is either taken into account at both free boundaries or neglected at both. We are concerned with the Rayleigh-Taylor instability, so we assume that the upper fluid is heavier than the lower fluid. When the surface tension at the free internal interface is below a critical value, which we identify, we establish that the problem under consideration is nonlinearly unstable.
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