Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical analysis of a discontinuous Galerkin method for
  Cahn-Hilliard-Navier-Stokes equations   In this paper, we derive a theoretical analysis of an interior penalty
discontinuous Galerkin methods for solving the Cahn-Hilliard-Navier-Stokes
model problem. We prove unconditional unique solvability of the discrete
system, obtain unconditional discrete energy dissipation law, and derive
stability bounds with a generalized chemical energy density. Convergence of the
method is obtained by proving optimal a priori error estimates. Our analysis of
the unique solvability is valid for both symmetric and non-symmetric versions
of the discontinuous Galerkin formulation.

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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics