Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global well-posedness and regularity of 3D Burgers equation with
  multiplicative noise   In this paper, we develop low regularity theory for 3D Burgers equation
perturbed by a linear multiplicative stochastic force. This method is new and
essentially different from the deterministic partial differential
equations(PDEs). Our results and method can be widely applied to other
stochastic hydrodynamic equations and the deterministic PDEs. As a further
study, we establish a random version of maximum principle for random 3D Burgers
equations, which will be an important tool for the study of 3D stochastic
Burgers equations. As we know establishing moment estimates for highly
nonlinear stochastic hydrodynamic equations is difficult. But moment estimates
are very important for us to study the probabilistic properties and long-time
behavior for the stochastic systems. Here, the random maximum principle helps
us to achieve some important moment estimates for 3D stochastic Burgers
equations and lays a solid foundation for the further study of 3D stochastic
Burgers equations.

14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph