Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Stochastic Leray-{\alpha} model of Euler equations   We deal with the 3D inviscid Leray-{\alpha} model. The well posedness for
this problem is not known; by adding a random perturbation we prove that there
exists a unique (in law) global solution. The random forcing term formally
preserves conservation of energy. The result holds for initial velocity of
finite energy and the solution has finite energy a.s.. These results are easily
extended to the 2D case.

27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga