Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Unique Admissible Weak Solutions of the Compressible Euler Equations
  with Compact Support in Space   This paper is concerned with the existence of compactly supported admissible
solutions to the Cauchy problem for the isentropic compressible Euler
equations. In more than one space dimension, convex integration techniques
developed by De Lellis-Sz\'ekelyhidi and Chiodaroli enable us to prove failure
of uniqueness on a finite time-interval for admissible solutions starting from
any continuously differentiable initial density and suitably constructed
bounded initial momenta. In particular, this extends Chiodaroli's work from
periodic boundary conditions to bounded domains or the whole space.

23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph