Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spherically symmetric solutions of the multi-dimensional, compressible,
  isentropic Euler equations   In this note, we prove that the solutions obtained to the spherically
symmetric Euler equations in the recent works [2, 3] are weak solutions of the
multi-dimensional compressible Euler equations. This follows from new uniform
estimates made on the artificial viscosity approximations up to the origin,
removing previous restrictions on the admissible test functions and ruling out
formation of an artificial boundary layer at the origin. The uniform estimates
may be of independent interest as concerns the possible rate of blow-up of the
density and velocity at the origin for spherically symmetric flows.

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The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg