Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the parabolic-elliptic limit of the doubly parabolic Keller--Segel
  system modelling chemotaxis   We establish new convergence results, in strong topologies, for solutions of
the parabolic-parabolic Keller--Segel system in the plane, to the corresponding
solutions of the parabolic-elliptic model, as a physical parameter goes to
zero. Our main tools are suitable space-time estimates, implying the global
existence of slowly decaying (in general, nonintegrable) solutions for these
models, under a natural smallness assumption.

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The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin