Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness of a modified degenerate Cahn-Hilliard model for surface
  diffusion   We study the well-posedness of a modified degenerate Cahn-Hilliard type model
for surface diffusion. With degenerate phase-dependent diffusion mobility and
additional stabilizing function, this model is able to give the correct sharp
interface limit. We introduce a notion of weak solutions for the nonlinear
model. The existence result is obtained by approximations of the proposed model
with nondegenerate mobilities. We also employ this method to prove existence of
weak solutions to a related model where the chemical potential contains a
nonlocal term originated from self-climb of dislocations in crystalline
materials.

10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol