Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust exponential attractors for the modified phase-field crystal
  equation   We consider the modified phase-field crystal (MPFC) equation that has
recently been proposed by P. Stefanovic et al. This is a variant of the
phase-field crystal (PFC) equation, introduced by K.-R. Elder et al., which is
characterized by the presence of an inertial term $\beta\phi_{tt}$. Here $\phi$
is the phase function standing for the number density of atoms and $\beta\geq
0$ is a relaxation time. The associated dynamical system for the MPFC equation
with respect to the parameter $\beta$ is analyzed. More precisely, we establish
the existence of a family of exponential attractors $\mathcal{M}_\beta$ that
are H\"older continuous with respect to $\beta$.

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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci