Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global solutions for two-phase Hele-Shaw bubble for a near-circular
  initial shape   Using a vortex sheet method we prove global existence of a near circular
initial bubble in a Hele-Shaw cell with surface tension and generally finite
nonzero viscosity ratio between fluids inside and outside the bubble. The
circular shape is shown to be asymptotically stable for all sufficiently smooth
small perturbation. The initial condition in this case, while smooth, need not
be analytic.

24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph