Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamically-consistent mesoscopic model of the ferro/paramagnetic
  transition   A continuum evolutionary model for micromagnetics is presented that, beside
the standard magnetic balance laws, includes thermo-magnetic coupling. To allow
conceptually efficient computer implementation, inspired by relaxation method
of static minimization problems, our model is mesoscopic in the sense that
possible fine spatial oscillations of the magnetization are modeled by means of
Young measures. Existence of weak solutions is proved by backward Euler time
discretization.

32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph