Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogenization of the G-equation with incompressible random drift in two
  dimensions   We study the homogenization limit of solutions to the G-equation with random
drift. This Hamilton-Jacobi equation is a model for flame propagation in a
turbulent fluid in the regime of thin flames. For a fluid velocity field that
is statistically stationary and ergodic, we prove sufficient conditions for
homogenization to hold with probability one. These conditions are expressed in
terms of travel times for the associated control problem. When the spatial
dimension is equal to two and the fluid velocity is divergence-free, we verify
that these conditions hold under suitable assumptions about the growth of the
random stream function.

29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys