Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-uniqueness in law for two-dimensional Navier-Stokes equations with
  diffusion weaker than a full Laplacian   We study the two-dimensional Navier-Stokes equations forced by random noise
with a diffusive term generalized via a fractional Laplacian that has a
positive exponent strictly less than one. Because intermittent jets are
inherently three-dimensional, we instead adapt the theory of intermittent form
of the two-dimensional stationary flows to the stochastic approach presented by
Hofmanov$\acute{\mathrm{a}}$, Zhu $\&$ Zhu (2019, arXiv:1912.11841 [math.PR])
and prove its non-uniqueness in law.

11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs