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Abstract: Focusing a finite amount of energy dynamically into a vanishingly smallamount of material requires that the initial condition be perfectly symmetric.In reality, imperfections are always present and cut-off the approach towardsthe focusing singularity. The disconnection of an underwater bubble provides asimple example of this process. An initial asymmetry in the shape of the bubbleneck excites vibrations that persist over time. Often the vibrations evolveinto a smooth contact that severs the neck into several lobes.



Author: Konstantin S. Turitsyn, Lipeng Lai, Wendy W. Zhang

Source: https://arxiv.org/







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