Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 2D Backward Stochastic Navier-Stokes Equations with Nonlinear Forcing   The paper is concerned with the existence and uniqueness of a strong solution
to a two-dimensional backward stochastic Navier-Stokes equation with nonlinear
forcing, driven by a Brownian motion. We use the spectral approximation and the
truncation and variational techniques. The methodology features an interactive
analysis on basis of the regularity of the deterministic Navier-Stokes dynamics
and the stochastic properties of the It\^o-type diffusion processes.

29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess