Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the hydrodynamical limit for a one dimensional kinetic model of cell
  aggregation by chemotaxis   The hydrodynamic limit of a one dimensional kinetic model describing
chemotaxis is investigated. The limit system is a conservation law coupled to
an elliptic problem for which the macroscopic velocity is possibly
discontinuous. Therefore, we need to work with measure-valued densities. After
recalling a blow-up result in finite time of regular solutions for the
hydrodynamic model, we establish a convergence result of the solutions of the
kinetic model towards solutions of a problem limit defined thanks to the flux.
Numerical simulations illustrate this convergence result.

36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an