Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relaxation of a model energy for the cubic to tetragonal phase
  transformation in two dimensions   We consider a two-dimensional problem in nonlinear elasticity which
corresponds to the cubic-to-tetragonal phase transformation. Our model is frame
invariant and the energy density is given by the squared distance from two
potential wells. We obtain the quasiconvex envelope of the energy density and
therefore the relaxation of the variational problem. Our result includes the
constraint of positive determinant.

36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph