Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularity formation for the compressible Euler equations with general
  pressure law   In this paper, the singularity formation of classical solutions for the
compressible Euler equations with general pressure law is considered. The
gradient blow-up of classical solutions is shown without any smallness
assumption by the delicate analysis on the decoupled Riccati type equations.
The proof also relies on a new estimate for the upper bound of density.

10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ