Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the V-states for the generalized quasi-geostrophic equations   We prove the existence of the V-states for the generalized inviscid SQG
equations with $\alpha\in ]0,1[.$ These structures are special rotating simply
connected patches with $m-$ fold symmetry bifurcating from the trivial solution
at some explicit values of the angular velocity. This produces, inter alia, an
infinite family of non stationary global solutions with uniqueness.

33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas