Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stochastic thin-film equation: existence of nonnegative martingale
  solutions   We consider the stochastic thin-film equation with colored Gaussian
Stratonovich noise in one space dimension and establish the existence of
nonnegative weak (martingale) solutions. The construction is based on a
Trotter-Kato-type decomposition into a deterministic and a stochastic
evolution, which yields an easy to implement numerical algorithm. Compared to
previous work, no interface potential has to be included, the initial data and
the solution can have de-wetted regions of positive measure, and the
Trotter-Kato scheme allows for a simpler proof of existence than in case of
It\^o noise.

16
The categories of this paper are: stat
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph