Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymmetric bubble disconnection: persistent vibration evolves into
  smooth contact   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.

15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph