Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-phase binary fluids and immiscible fluids described by an order
  parameter   A unified framework for coupled Navier-Stokes/Cahn-Hilliard equations is
developed using, as a basis, a balance law for microforces in conjunction with
constitutive equations consistent with a mechanical version of the second law.
As a numerical application of the theory, we consider the kinetics of
coarsening for a binary fluid in two space-dimensions.

22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org