Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flux-stability for conservation laws with discontinuous flux and
  convergence rates of the front tracking method   We prove that adapted entropy solutions of scalar conservation laws with
discontinuous flux are stable with respect to changes in the flux under the
assumption that the flux is strictly monotone in u and the spatial dependency
is piecewise constant with finitely many discontinuities. We use this stability
result to prove a convergence rate for the front tracking method -- a numerical
method which is widely used in the field of conservation laws with
discontinuous flux. To the best of our knowledge, both of these results are the
first of their kind in the literature on conservation laws with discontinuous
flux. We also present numerical experiments verifying the convergence rate
results and comparing numerical solutions computed with the front tracking
method to finite volume approximations.

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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc