Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational analysis of a mesoscale model for bilayer membranes   We present an asymptotic analysis of a mesoscale energy for bilayer membranes
that has been introduced and analyzed in two space dimensions by the second and
third author (Arch. Ration. Mech. Anal. 193, 2009). The energy is both
non-local and non-convex. It combines a surface area and a
Monge-Kantorovich-distance term, leading to a competition between preferences
for maximally concentrated and maximally dispersed configurations. Here we
extend key results of our previous analysis to the three dimensional case.
First we prove a general lower estimate and formally identify a curvature
energy in the zero-thickness limit. Secondly we construct a recovery sequence
and prove a matching upper-bound estimate.

1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an