Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probabilistic global well-posedness of the viscous nonlinear wave
  equation with a defocusing quintic nonlinearity   We continue the study of low regularity behavior of the viscous nonlinear
wave equation (vNLW) on $\mathbb R^2$, initiated by \v{C}ani\'c and the first
author (2021). In this paper, we focus on the defocusing quintic nonlinearity
and, by combining a parabolic smoothing with a probabilistic energy estimate,
we prove almost sure global well-posedness of vNLW for initial data in
$\mathcal H^s (\mathbb R^2)$, $s >- \frac 15$, under a suitable randomization.

22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat