Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-isothermal viscous Cahn--Hilliard equation with inertial term and
  dynamic boundary conditions   We consider a non-isothermal modified Cahn--Hilliard equation which was
previously analyzed by M. Grasselli et al. Such an equation is characterized by
an inertial term and a viscous term and it is coupled with a hyperbolic heat
equation. The resulting system was studied in the case of no-flux boundary
conditions. Here we analyze the case in which the order parameter is subject to
a dynamic boundary condition. This assumption requires a more refined strategy
to extend the previous results to the present case. More precisely, we first
prove the well-posedness for solutions with bounded energy as well as for weak
solutions. Then we establish the existence of a global attractor. Finally, we
prove the convergence of any given weak solution to a single equilibrium by
using a suitable Lojasiewicz--Simon inequality.

11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess