Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp a-contraction estimates for small extremal shocks   In this paper, we study the $a$-contraction property of small extremal shocks
for 1-d systems of hyperbolic conservation laws endowed with a single convex
entropy, when subjected to large perturbations. We show that the weight
coefficient $a$ can be chosen with amplitude proportional to the size of the
shock. The main result of this paper is a key building block in the companion
paper, [{arXiv:2010.04761}, 2020], in which uniqueness and BV-weak stability
results for $2\times 2$ systems of hyperbolic conservation laws are proved.

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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: stat
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex