Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A phase-field approach to Eulerian interfacial energies   We analyze a phase-field approximation of a sharp-interface model for two-
phase materials proposed by M. Silhavy [32, 33]. The distinguishing trait of
the model resides in the fact that the interfacial term is Eulerian in nature,
for it is defined on the deformed configuration. We discuss a functional frame
allowing for existence of phase- field minimizers and {\Gamma}-convergence to
the sharp-interface limit. As a by-product, we provide additional detail on the
admissible sharp-interface configurations with respect to the analysis in [32,
33].

27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th