Finite time analyticity for the two- and three-dimensional Rayleigh-Taylor instability
Finite time analyticity for the two- and three-dimensional Rayleigh-Taylor instability
复制标题
二维和三维瑞利-泰勒不稳定性的有限时间解析
DOI：
10.1090/s0002-9947-1985-0766210-5
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发表时间：
1985
影响因子：
1.3
通讯作者：
P. Sulem
中科院分区：
文献类型：
--
作者：
C. Sulem;P. Sulem
瑞利-泰勒不稳定性是指两种不同密度的理想无旋流体相互叠加并处于相对运动中的界面动力学。这个问题的适定性被认为是在整个空间中的二维和三维流，并在存在一个水平的底部。在整个空间中，有限时间解析的接口被证明时，初始接口有足够小的梯度，是平坦的无穷远。在存在水平底部的情况下，初始界面波纹在初始时也必须很小，但不要求在无穷远处为零。
The Rayleigh-Taylor instability refers to the dynamics of the interface between two ideal irrotational fluids of different densities superposed one over the other and in relative motion. The well-posedness of this problem is considered for twoand three-dimensional flows in the entire space and in the presence of a horizontal bottom. In the entire space, finite time analyticity of the interface is proven when the initial interface has sufficiently small gradients and is flat at infinity. In the presence of a horizontal bottom, the initial interface corrugations has also to be small initially but it is not required to vanish at infinity.