Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Including van der Waals Forces in Diffusion-Convection Equations -
  Modeling, Analysis, and Numerical Simulations   This paper presents a model of van der Waals forces in the framework of
diffusion-convection equations. The model consists of a nonlinear and
degenerated diffusion-convection equation, which furthermore can be considered
as a model for slow perikinetic coagulation. For the analytical investigation,
we transform the model to a porous medium equation, which provides us access to
the comprehensive analytical results for porous medium equations. Additionally,
this transformation reveals a new application for porous medium equations.
Eventually, we present numerical simulations of the model by solving the porous
medium equation. We note that we solve the porous medium equation without any
further regularization, which is often applied in this context.

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The categories of this paper are: atom-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc