Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: No BV bounds for approximate solutions to p-system with general pressure
  law   For the p-system with large BV initial data, an assumption introduced in [3]
by Bakhvalov guarantees the global existence of entropy weak solutions with
uniformly bounded total variation. The present paper provides a partial
converse to this result. Whenever Bakhvalov's condition does not hold, we show
that there exist front tracking approximate solutions, with uniformly positive
density, whose total variation becomes arbitrarily large. The construction
extends the arguments in [4] to a general class of pressure laws.

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The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
3
The categories of this paper are: physics
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The categories of this paper are: econ
22
The categories of this paper are: chao-dyn