Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy conservation for inhomogeneous incompressible and compressible
  Euler equations   Energy conservations are studied for inhomogeneous incompressible and
compressible Euler equations with general pressure law in a torus or a bounded
domain. We provide sufficient conditions for a weak solution to conserve the
energy. By exploiting a suitable test function, the spatial regularity for the
density is only required to be of order $2/3$ in the incompressible case, and
of order $1/3$ in the compressible case. When the density is constant, we
recover the existing results for classical incompressible Euler equation.

23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat