Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slow motion for gradient systems with equal depth multiple-well
  potentials   For scalar reaction-diffusion in one space dimension, it is known for a long
time that fronts move with an exponentially small speed for potentials with
several distinct mini- mizers. The purpose of this paper is to provide a
similar result in the case of systems. Our method relies on a careful study of
the evolution of localized energy. This approach has the advantage to relax the
preparedness assumptions on the initial datum.

34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat