Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Front blocking and propagation in cylinders with varying cross section   In this paper we consider a bistable reaction-diffusion equation in unbounded
domains and we investigate the existence of propagation phenomena, possibly
partial, in some direction or, on the contrary, of blocking phenomena. We start
by proving the well-posedness of the problem. Then we prove that when the
domain has a decreasing cross section with respect to the direction of
propagation there is complete propagation. Further, we prove that the wave can
be blocked as it comes to an abrupt geometry change. Finally we discuss various
general geometrical properties that ensure either partial or complete invasion
by 1. In particular, we show that in a domain that is "star-shaped" with
respect to an axis, there is complete invasion by 1.

19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio