Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metastable dynamics for a hyperbolic variant of the mass conserving
  Allen-Cahn equation in one space dimension   In this paper, we consider some hyperbolic variants of the mass conserving
Allen-Cahn equation, which is a nonlocal reaction-diffusion equation,
introduced (as a simpler alternative to the Cahn-Hilliard equation) to describe
phase separation in binary mixtures. In particular, we focus our attention on
the metastable dynamics of some solutions to the equation in a bounded interval
of the real line with homogeneous Neumann boundary conditions. It is shown that
the evolution of profiles with $N+1$ transition layers is very slow and we
derive a system of ODEs, which describes the exponentially slow motion of the
layers. A comparison with the classical Allen-Cahn and Cahn-Hilliard equations
and theirs hyperbolic variations is also performed.

26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an