Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular limit of an Allen-Cahn equation with nonlinear diffusion   We consider an Allen-Cahn equation with nonlinear diffusion, motivated by the
study of the scaling limit of certain interacting particle systems. We
investigate its singular limit and show the generation and propagation of an
interface in the limit. The evolution of this limit interface is governed by
mean curvature flow with a novel, homogenized speed in terms of a surface
tension-mobility parameter emerging from the nonlinearity in our equation.

31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
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
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom