奇点
气泡
不对称
断开
振动
机械
物理
水下
经典力学
能量(信号处理)
声学
数学分析
数学
量子力学
地质学
海洋学
法学
政治学
作者
Konstantin Turitsyn,Lipeng Lai,Wendy W. Zhang
标识
DOI:10.1103/physrevlett.103.124501
摘要
The disconnection of an underwater bubble illustrates how slight initial asymmetries can prevent the formation of a finite-time singularity. Creating a singularity by focusing a finite amount of energy dynamically into a vanishingly small amount of material requires that the initial condition be perfectly symmetric. In reality, imperfections are always present. We show a slight azimuthal asymmetry in the initial shape of the bubble neck excites vibrations that persist over time. As a result, the focusing singularity is generically preempted by a smooth contact.
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