Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stochastic primitive equations with transport noise and turbulent
  pressure   In this paper we consider the stochastic primitive equation for geophysical
flows subject to transport noise and turbulent pressure. Admitting very rough
noise terms, the global existence and uniqueness of solutions to this
stochastic partial differential equation are proven using stochastic maximal
$L^2$-regularity, the theory of critical spaces for stochastic evolution
equations, and global a priori bounds. Compared to other results in this
direction, we do not need any smallness assumption on the transport noise which
acts directly on the velocity field and we also allow rougher noise terms. The
adaptation to Stratonovich type noise and, more generally, to variable
viscosity and/or conductivity are discussed as well.

37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg