Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the time of existence of solutions of the Euler-Korteweg system   Under a natural stability condition on the pressure, it is known that for
small irrotational initial data, the solutions of the Euler-Korteweg system are
global in time. When the initial velocity has a small rotational part, we
obtain a lower bound on the time of existence that depends only on the
rotational part. In the zero vorticity limit we recover the previous global
well-posedness result. Independently of this analysis, we also provide (in a
special case) a simple example of solution that blows up in finite time.

20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th