Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-well rigidity and multidimensional sharp-interface limits for
  solid-solid phase transitions   We establish a quantitative rigidity estimate for two-well frame-indifferent
nonlinear energies, in the case in which the two wells have exactly one
rank-one connection. Building upon this novel rigidity result, we then analyze
solid-solid phase transitions in arbitrary space dimensions, under a suitable
anisotropic penalization of second variations. By means of
$\Gamma$-convergence, we show that, as the size of transition layers tends to
zero, singularly perturbed two-well problems approach an effective
sharp-interface model. The limiting energy is finite only for deformations
which have the structure of a laminate. In this case, it is proportional to the
total length of the interfaces between the two phases.

5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th