Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong pathwise solution and large deviation principle for the
  stochastic Boussinesq equations with partial diffusion term   We establish the existence and uniqueness of local strong pathwise solutions
to the stochastic Boussinesq equations with partial diffusion term forced by
multiplicative noise on the torus in $\mathbb{R}^{d},d=2,3$. The solution is
strong in both PDE and probabilistic sense.In the two dimensional case, we
prove the global existence of strong solutions to the Boussinesq equations
forced by additive noise using a suitable stochastic analogue of a logarithmic
Gronwall's lemma. After the global existence and uniqueness of strong solutions
are established, the large deviation principle (LDP) is proved by the weak
convergence method. The weak convergence is shown by a tightness argument in
the appropriate functional space.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin