Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness and Global Attractors for Viscous Fractional
  Cahn-Hilliard Equations with Memory   We examine a viscous Cahn-Hilliard phase-separation model with memory and
where the chemical potential possesses a nonlocal fractional Laplacian
operator. The existence of global weak solutions is proven using a Galerkin
approximation scheme. A continuous dependence estimate provides uniqueness of
the weak solutions and also serves to define a precompact pseudometric. This,
in addition to the existence of a bounded absorbing set, shows that the
associated semigroup of solution operators admits a compact connected global
attractor in the weak energy phase space. The minimal assumptions on the
nonlinear potential allow for arbitrary polynomial growth.

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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
19
The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an