Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic hydrodynamic-type evolution equations driven by L\'{e}vy
  noise in 3D unbounded domains - abstract framework and applications   The existence of martingale solutions of the hydrodynamic-type equations in
3D possibly unbounded domains is proved. The construction of the solution is
based on the Faedo-Galerkin approximation. To overcome the difficulty related
to the lack of the compactness of Sobolev embeddings in the case of unbounded
domain we use certain Fr\'{e}chet space.
  We use also compactness and tightness criteria in some nonmetrizable spaces
and a version of the Skorokhod Theorem in non-metric spaces. The general
framework is applied to the stochastic Navier-Stokes, magneto-hydrodynamic
(MHD) and the Boussinesq equations.

3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys