Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concentration waves of chemotactic bacteria: the discrete velocity case   The existence of travelling waves for a coupled system of hyperbolic/
parabolic equations is established in the case of a finite number of velocities
in the kinetic equation. This finds application in collective motion of
chemotactic bacteria. The analysis builds on the previous work by the first
author (arXiv:1607.00429) in the case of a continuum of velocities. Here, the
proof is specific to the discrete setting, based on the decomposition of the
population density in special Case's modes. Some counter-intuitive results are
discussed numerically, including the coexistence of several travelling waves
for some sets of parameters, as well as the possible non-existence of
travelling waves.

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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol