Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of the collapsing axisymmetric cavity   We investigate the collapse of an axisymmetric cavity or bubble inside a
fluid of small viscosity, like water. Any effects of the gas inside the cavity
as well as of the fluid viscosity are neglected. Using a slender-body
description, we show that the minimum radius of the cavity scales like $h_0
\propto t'^{\alpha}$, where $t'$ is the time from collapse. The exponent
$\alpha$ very slowly approaches a universal value according to $\alpha=1/2 +
1/(4\sqrt{-\ln(t')})$. Thus, as observed in a number of recent experiments, the
scaling can easily be interpreted as evidence of a single non-trivial scaling
exponent. Our predictions are confirmed by numerical simulations.

18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an