Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-phase Stokes flow by capillarity in the plane: The case of different
  viscosities   We study the two-phase Stokes flow driven by surface tension for two fluids
of different viscosities, separated by an asymptotically flat interface
representable as graph of a differentiable function. The flow is assumed to be
two-dimensional with the fluids filling the entire space. We prove
well-posedness and parabolic smoothing in Sobolev spaces up to critical
regularity. The main technical tools are an analysis of nonlinear singular
integral operators arising from the hydrodynamic single and double layer
potential, spectral results on the corresponding integral operators, and
abstract results on nonlinear parabolic evolution equations.

35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin