Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical analysis of a coarsening model with local interactions   We consider particles on a one-dimensional lattice whose evolution is
governed by nearest-neighbor interactions where particles that have reached
size zero are removed from the system. Concentrating on configurations with
infinitely many particles, we prove existence of solutions under a reasonable
density assumption on the initial data and show that the vanishing of particles
and the localized interactions can lead to non-uniqueness. Moreover, we provide
a rigorous upper coarsening estimate and discuss the generic statistical
properties as well as some non-generic behavior of the evolution by means of
heuristic arguments and numerical observations.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int