Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Review on the Cahn-Hilliard Equation: Classical Results and Recent
  Advances in Dynamic Boundary Conditions   The Cahn-Hilliard equation is a fundamental model that describes the phase
separation process in multi-component mixtures. It has been successfully
extended to many different contexts in several scientific fields. In this
survey article, we briefly review the derivation, structure as well as some
analytical issues for the Cahn-Hilliard equation and its variants. Our focus
will be placed on the well-posedness and long-time behavior of the
Cahn-Hilliard equation in the classical setting and recent progresses on the
dynamic boundary conditions accounting for non-trivial boundary effects.

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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs