Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global existence for a kinetic model of chemotaxis via dispersion and
  Strichartz estimates   We investigate further the existence of solutions to kinetic models of
chemotaxis. These are nonlinear transport-scattering equations with a quadratic
nonlinearity which have been used to describe the motion of bacteria since the
80's when experimental observations have shown they move by a series of 'run
and tumble'. The existence of solutions has been obtained in several papers
[Chalub et al. Monatsh. Math. 142, 123--141 (2004), Hwang et al. SIAM J. Math.
Anal. 36, 1177--1199 (2005)] using direct and strong dispersive effects.
  Here, we use the weak dispersion estimates of [Castella et al. C. R. Acad.
Sci. Paris 322, 535--540 (1996)] to prove global existence in various
situations depending on the turning kernel. In the most difficult cases, where
both the velocities before and after tumbling appear, with the known methods,
only Strichartz estimates can give a result, with a smallness assumption.

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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: q-bio