Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On conserved Penrose-Fife type models   In this paper we investigate quasilinear parabolic systems of conserved
Penrose-Fife type. We show maximal $L_p$ - regularity for this problem with
inhomogeneous boundary data. Furthermore we prove global existence of a
solution, provided that the absolute temperature is bounded from below and
above. Moreover, we apply the Lojasiewicz-Simon inequality to establish the
convergence of solutions to a steady state as time tends to infinity.

9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics