Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global existence and blow-up for a weakly dissipative $\mu$DP equation   In this paper, we study a weakly dissipative variant of the periodic
Degasperis-Procesi equation. We show the local well-posedness of the associated
Cauchy problem in $H^s(\S)$, $s>3/2$, and discuss the precise blow-up scenario
for $s=3$. We also present explicit examples for globally existing solutions
and blow-up.

37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex