Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of a non local model for spontaneous cell polarisation   In this work, we investigate the dynamics of a non-local model describing
spontaneous cell polarisation. It consists in a drift-diffusion equation set in
the half-space, with the coupling involving the trace value on the boundary. We
characterize the following behaviours in the one-dimensional case: solutions
are global if the mass is below the critical mass and they blow-up in finite
time above the critical mass. The higher-dimensional case is also discussed.
The results are reminiscent of the classical Keller-Segel system in double the
dimension. In addition, in the one-dimensional case we prove quantitative
convergence results using relative entropy techniques. This work is
complemented with a more realistic model that takes into account dynamical
exchange of molecular content at the boundary. In the one-dimensional case we
prove that blow-up is prevented. Furthermore, density converges towards a non
trivial stationary configuration.

9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an