不对称气泡断开：持续振动演变为平滑接触
Asymmetric bubble disconnection: persistent vibration evolves into smooth contact
摘要：
将有限的能量动态地集中到极小的物质中，需要初始条件完全对称。在现实中，不完美总是存在的，并切断了对聚焦奇点的方法。水下气泡的分离提供了这个过程的一个简单例子。气泡颈形状的初始不对称激发了随时间持续的振动。通常，振动会演变成一个平滑的接触，将颈部分成几个叶。
英文摘要：
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 and cut-off the approach towards the focusing singularity. The disconnection of an underwater bubble provides a simple example of this process. An initial asymmetry in the shape of the bubble neck excites vibrations that persist over time. Often the vibrations evolve into a smooth contact that severs the neck into several lobes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
