Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic transport equation in bounded domains   This paper is concerned with the initial-boundary value problem \; for
stochastic transport equations in bounded domains. For a given stochastic
perturbation of the drift vector field, we prove existence and uniqueness of
weak solutions with non-regular coefficients. The existence of weak solutions
relies strongly on the existence of strong stochastic trace, and also on the
passage from the Stratonovich into It\^o's formulation for bounded
domains.Moreover, the uniqueness of weak solutions is obtained under suitable
conditions.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: funct-an