Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lack of BV Bounds for Approximate Solutions to the p-system with Large
  Data   We consider front tracking approximate solutions to the p-system of
isentropic gas dynamics. At interaction times, the outgoing wave fronts have
the same strength as in the exact solution of the Riemann problem, but some
error is allowed in their speed. For large BV initial data, we construct
examples showing that the total variation of these approximate solutions can
become arbitrarily large, or even blow up in finite time. This happens even if
the density of the gas remains uniformly positive.

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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
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The categories of this paper are: funct-an